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Finding the Third Proportional to 15,696 and 22,372

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Solution

The third proportional to 15,696 and 22,372 is: 31,887.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,696 : 22,372 = 22,372 : x
  2. Step 2: Convert to fraction form
    15,696/22,372 = 22,372/x
  3. Step 3: Cross multiply
    15,696x = 22,372 × 22,372
  4. Step 4: Simplify right side
    15,696x = 500,506,384
  5. Step 5: Solve for x
    x = 500,506,384/15,696
  6. Step 6: Final answer
    x = 31,887.51

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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.