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Finding the Third Proportional to 13,722 and 29,748

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Solution

The third proportional to 13,722 and 29,748 is: 64,490.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722 : 29,748 = 29,748 : x
  2. Step 2: Convert to fraction form
    13,722/29,748 = 29,748/x
  3. Step 3: Cross multiply
    13,722x = 29,748 × 29,748
  4. Step 4: Simplify right side
    13,722x = 884,943,504
  5. Step 5: Solve for x
    x = 884,943,504/13,722
  6. Step 6: Final answer
    x = 64,490.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.