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Finding the Third Proportional to 15,489 and 24,615

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Solution

The third proportional to 15,489 and 24,615 is: 39,117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,489 : 24,615 = 24,615 : x
  2. Step 2: Convert to fraction form
    15,489/24,615 = 24,615/x
  3. Step 3: Cross multiply
    15,489x = 24,615 × 24,615
  4. Step 4: Simplify right side
    15,489x = 605,898,225
  5. Step 5: Solve for x
    x = 605,898,225/15,489
  6. Step 6: Final answer
    x = 39,117.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.