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Finding the Third Proportional to 15,712 and 22,396

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Solution

The third proportional to 15,712 and 22,396 is: 31,923.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,712 : 22,396 = 22,396 : x
  2. Step 2: Convert to fraction form
    15,712/22,396 = 22,396/x
  3. Step 3: Cross multiply
    15,712x = 22,396 × 22,396
  4. Step 4: Simplify right side
    15,712x = 501,580,816
  5. Step 5: Solve for x
    x = 501,580,816/15,712
  6. Step 6: Final answer
    x = 31,923.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.