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Finding the Third Proportional to 30,984.75 and 46,768.50

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Solution

The third proportional to 30,984.75 and 46,768.50 is: 70,592.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,984.75 : 46,768.50 = 46,768.50 : x
  2. Step 2: Convert to fraction form
    30,984.75/46,768.50 = 46,768.50/x
  3. Step 3: Cross multiply
    30,984.75x = 46,768.50 × 46,768.50
  4. Step 4: Simplify right side
    30,984.75x = 2,187,292,592.25
  5. Step 5: Solve for x
    x = 2,187,292,592.25/30,984.75
  6. Step 6: Final answer
    x = 70,592.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.