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Finding the Third Proportional to 24,626 and 53,374

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Solution

The third proportional to 24,626 and 53,374 is: 115,681.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,626 : 53,374 = 53,374 : x
  2. Step 2: Convert to fraction form
    24,626/53,374 = 53,374/x
  3. Step 3: Cross multiply
    24,626x = 53,374 × 53,374
  4. Step 4: Simplify right side
    24,626x = 2,848,783,876
  5. Step 5: Solve for x
    x = 2,848,783,876/24,626
  6. Step 6: Final answer
    x = 115,681.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.