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Finding the Third Proportional to 15,712 and 32,972

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Solution

The third proportional to 15,712 and 32,972 is: 69,192.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,712 : 32,972 = 32,972 : x
  2. Step 2: Convert to fraction form
    15,712/32,972 = 32,972/x
  3. Step 3: Cross multiply
    15,712x = 32,972 × 32,972
  4. Step 4: Simplify right side
    15,712x = 1,087,152,784
  5. Step 5: Solve for x
    x = 1,087,152,784/15,712
  6. Step 6: Final answer
    x = 69,192.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.