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Finding the Third Proportional to 48,804 and 72,882

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Solution

The third proportional to 48,804 and 72,882 is: 108,839.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,804 : 72,882 = 72,882 : x
  2. Step 2: Convert to fraction form
    48,804/72,882 = 72,882/x
  3. Step 3: Cross multiply
    48,804x = 72,882 × 72,882
  4. Step 4: Simplify right side
    48,804x = 5,311,785,924
  5. Step 5: Solve for x
    x = 5,311,785,924/48,804
  6. Step 6: Final answer
    x = 108,839.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.