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Finding the Third Proportional to 48,422 and 72,609

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Solution

The third proportional to 48,422 and 72,609 is: 108,877.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,422 : 72,609 = 72,609 : x
  2. Step 2: Convert to fraction form
    48,422/72,609 = 72,609/x
  3. Step 3: Cross multiply
    48,422x = 72,609 × 72,609
  4. Step 4: Simplify right side
    48,422x = 5,272,066,881
  5. Step 5: Solve for x
    x = 5,272,066,881/48,422
  6. Step 6: Final answer
    x = 108,877.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.