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Finding the Third Proportional to 24,864 and 37,535

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Solution

The third proportional to 24,864 and 37,535 is: 56,663.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,864 : 37,535 = 37,535 : x
  2. Step 2: Convert to fraction form
    24,864/37,535 = 37,535/x
  3. Step 3: Cross multiply
    24,864x = 37,535 × 37,535
  4. Step 4: Simplify right side
    24,864x = 1,408,876,225
  5. Step 5: Solve for x
    x = 1,408,876,225/24,864
  6. Step 6: Final answer
    x = 56,663.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.