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Finding the Third Proportional to 48,801.71 and 73,817.66

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Solution

The third proportional to 48,801.71 and 73,817.66 is: 111,656.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,801.71 : 73,817.66 = 73,817.66 : x
  2. Step 2: Convert to fraction form
    48,801.71/73,817.66 = 73,817.66/x
  3. Step 3: Cross multiply
    48,801.71x = 73,817.66 × 73,817.66
  4. Step 4: Simplify right side
    48,801.71x = 5,449,046,518.42
  5. Step 5: Solve for x
    x = 5,449,046,518.42/48,801.71
  6. Step 6: Final answer
    x = 111,656.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.