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Finding the Third Proportional to 22,583 and 48,931

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Solution

The third proportional to 22,583 and 48,931 is: 106,019.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,583 : 48,931 = 48,931 : x
  2. Step 2: Convert to fraction form
    22,583/48,931 = 48,931/x
  3. Step 3: Cross multiply
    22,583x = 48,931 × 48,931
  4. Step 4: Simplify right side
    22,583x = 2,394,242,761
  5. Step 5: Solve for x
    x = 2,394,242,761/22,583
  6. Step 6: Final answer
    x = 106,019.69

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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.