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Finding the Third Proportional to 30,133 and 44,584.50

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Solution

The third proportional to 30,133 and 44,584.50 is: 65,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,133 : 44,584.50 = 44,584.50 : x
  2. Step 2: Convert to fraction form
    30,133/44,584.50 = 44,584.50/x
  3. Step 3: Cross multiply
    30,133x = 44,584.50 × 44,584.50
  4. Step 4: Simplify right side
    30,133x = 1,987,777,640.25
  5. Step 5: Solve for x
    x = 1,987,777,640.25/30,133
  6. Step 6: Final answer
    x = 65,966.80

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.