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Finding the Third Proportional to 29,722 and 61,748

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Solution

The third proportional to 29,722 and 61,748 is: 128,282.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,722 : 61,748 = 61,748 : x
  2. Step 2: Convert to fraction form
    29,722/61,748 = 61,748/x
  3. Step 3: Cross multiply
    29,722x = 61,748 × 61,748
  4. Step 4: Simplify right side
    29,722x = 3,812,815,504
  5. Step 5: Solve for x
    x = 3,812,815,504/29,722
  6. Step 6: Final answer
    x = 128,282.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.