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Finding the Third Proportional to 15,564.38 and 22,237.88

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Solution

The third proportional to 15,564.38 and 22,237.88 is: 31,772.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,564.38 : 22,237.88 = 22,237.88 : x
  2. Step 2: Convert to fraction form
    15,564.38/22,237.88 = 22,237.88/x
  3. Step 3: Cross multiply
    15,564.38x = 22,237.88 × 22,237.88
  4. Step 4: Simplify right side
    15,564.38x = 494,523,084.52
  5. Step 5: Solve for x
    x = 494,523,084.52/15,564.38
  6. Step 6: Final answer
    x = 31,772.76

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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.