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Finding the Third Proportional to 24,731 and 53,565

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Solution

The third proportional to 24,731 and 53,565 is: 116,016.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,731 : 53,565 = 53,565 : x
  2. Step 2: Convert to fraction form
    24,731/53,565 = 53,565/x
  3. Step 3: Cross multiply
    24,731x = 53,565 × 53,565
  4. Step 4: Simplify right side
    24,731x = 2,869,209,225
  5. Step 5: Solve for x
    x = 2,869,209,225/24,731
  6. Step 6: Final answer
    x = 116,016.71

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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.