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Finding the Third Proportional to 48,976 and 72,743.75

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Solution

The third proportional to 48,976 and 72,743.75 is: 108,045.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,976 : 72,743.75 = 72,743.75 : x
  2. Step 2: Convert to fraction form
    48,976/72,743.75 = 72,743.75/x
  3. Step 3: Cross multiply
    48,976x = 72,743.75 × 72,743.75
  4. Step 4: Simplify right side
    48,976x = 5,291,653,164.06
  5. Step 5: Solve for x
    x = 5,291,653,164.06/48,976
  6. Step 6: Final answer
    x = 108,045.84

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