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Finding the Third Proportional to 24,887 and 38,535

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Solution

The third proportional to 24,887 and 38,535 is: 59,667.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,887 : 38,535 = 38,535 : x
  2. Step 2: Convert to fraction form
    24,887/38,535 = 38,535/x
  3. Step 3: Cross multiply
    24,887x = 38,535 × 38,535
  4. Step 4: Simplify right side
    24,887x = 1,484,946,225
  5. Step 5: Solve for x
    x = 1,484,946,225/24,887
  6. Step 6: Final answer
    x = 59,667.55

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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.