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Finding the Third Proportional to 24,831 and 58,565

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Solution

The third proportional to 24,831 and 58,565 is: 138,128.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,831 : 58,565 = 58,565 : x
  2. Step 2: Convert to fraction form
    24,831/58,565 = 58,565/x
  3. Step 3: Cross multiply
    24,831x = 58,565 × 58,565
  4. Step 4: Simplify right side
    24,831x = 3,429,859,225
  5. Step 5: Solve for x
    x = 3,429,859,225/24,831
  6. Step 6: Final answer
    x = 138,128.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.