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Finding the Third Proportional to 13,970 and 29,554

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Solution

The third proportional to 13,970 and 29,554 is: 62,522.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970 : 29,554 = 29,554 : x
  2. Step 2: Convert to fraction form
    13,970/29,554 = 29,554/x
  3. Step 3: Cross multiply
    13,970x = 29,554 × 29,554
  4. Step 4: Simplify right side
    13,970x = 873,438,916
  5. Step 5: Solve for x
    x = 873,438,916/13,970
  6. Step 6: Final answer
    x = 62,522.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.