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Finding the Third Proportional to 31,637 and 48,022

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Solution

The third proportional to 31,637 and 48,022 is: 72,892.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,637 : 48,022 = 48,022 : x
  2. Step 2: Convert to fraction form
    31,637/48,022 = 48,022/x
  3. Step 3: Cross multiply
    31,637x = 48,022 × 48,022
  4. Step 4: Simplify right side
    31,637x = 2,306,112,484
  5. Step 5: Solve for x
    x = 2,306,112,484/31,637
  6. Step 6: Final answer
    x = 72,892.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.