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Finding the Third Proportional to 13,777.50 and 29,499

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Solution

The third proportional to 13,777.50 and 29,499 is: 63,160.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.50 : 29,499 = 29,499 : x
  2. Step 2: Convert to fraction form
    13,777.50/29,499 = 29,499/x
  3. Step 3: Cross multiply
    13,777.50x = 29,499 × 29,499
  4. Step 4: Simplify right side
    13,777.50x = 870,191,001
  5. Step 5: Solve for x
    x = 870,191,001/13,777.50
  6. Step 6: Final answer
    x = 63,160.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.