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Finding the Third Proportional to 30,868.50 and 46,120

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Solution

The third proportional to 30,868.50 and 46,120 is: 68,906.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,868.50 : 46,120 = 46,120 : x
  2. Step 2: Convert to fraction form
    30,868.50/46,120 = 46,120/x
  3. Step 3: Cross multiply
    30,868.50x = 46,120 × 46,120
  4. Step 4: Simplify right side
    30,868.50x = 2,127,054,400
  5. Step 5: Solve for x
    x = 2,127,054,400/30,868.50
  6. Step 6: Final answer
    x = 68,906.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.