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Finding the Third Proportional to 15,712 and 30,688

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Solution

The third proportional to 15,712 and 30,688 is: 59,938.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,712 : 30,688 = 30,688 : x
  2. Step 2: Convert to fraction form
    15,712/30,688 = 30,688/x
  3. Step 3: Cross multiply
    15,712x = 30,688 × 30,688
  4. Step 4: Simplify right side
    15,712x = 941,753,344
  5. Step 5: Solve for x
    x = 941,753,344/15,712
  6. Step 6: Final answer
    x = 59,938.48

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.