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Finding the Third Proportional to 13,677.50 and 29,447

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Solution

The third proportional to 13,677.50 and 29,447 is: 63,397.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.50 : 29,447 = 29,447 : x
  2. Step 2: Convert to fraction form
    13,677.50/29,447 = 29,447/x
  3. Step 3: Cross multiply
    13,677.50x = 29,447 × 29,447
  4. Step 4: Simplify right side
    13,677.50x = 867,125,809
  5. Step 5: Solve for x
    x = 867,125,809/13,677.50
  6. Step 6: Final answer
    x = 63,397.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.