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Finding the Third Proportional to 15,788 and 22,442

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Solution

The third proportional to 15,788 and 22,442 is: 31,900.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,788 : 22,442 = 22,442 : x
  2. Step 2: Convert to fraction form
    15,788/22,442 = 22,442/x
  3. Step 3: Cross multiply
    15,788x = 22,442 × 22,442
  4. Step 4: Simplify right side
    15,788x = 503,643,364
  5. Step 5: Solve for x
    x = 503,643,364/15,788
  6. Step 6: Final answer
    x = 31,900.39

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.