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Finding the Third Proportional to 7,748 and 15,712

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Solution

The third proportional to 7,748 and 15,712 is: 31,862.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748 : 15,712 = 15,712 : x
  2. Step 2: Convert to fraction form
    7,748/15,712 = 15,712/x
  3. Step 3: Cross multiply
    7,748x = 15,712 × 15,712
  4. Step 4: Simplify right side
    7,748x = 246,866,944
  5. Step 5: Solve for x
    x = 246,866,944/7,748
  6. Step 6: Final answer
    x = 31,862.02

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.