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Finding the Third Proportional to 15,564 and 24,139.75

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Solution

The third proportional to 15,564 and 24,139.75 is: 37,440.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,564 : 24,139.75 = 24,139.75 : x
  2. Step 2: Convert to fraction form
    15,564/24,139.75 = 24,139.75/x
  3. Step 3: Cross multiply
    15,564x = 24,139.75 × 24,139.75
  4. Step 4: Simplify right side
    15,564x = 582,727,530.06
  5. Step 5: Solve for x
    x = 582,727,530.06/15,564
  6. Step 6: Final answer
    x = 37,440.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.