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Finding the Third Proportional to 13,860 and 30,487

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Solution

The third proportional to 13,860 and 30,487 is: 67,060.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,860 : 30,487 = 30,487 : x
  2. Step 2: Convert to fraction form
    13,860/30,487 = 30,487/x
  3. Step 3: Cross multiply
    13,860x = 30,487 × 30,487
  4. Step 4: Simplify right side
    13,860x = 929,457,169
  5. Step 5: Solve for x
    x = 929,457,169/13,860
  6. Step 6: Final answer
    x = 67,060.40

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.