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Finding the Third Proportional to 48,801.75 and 66,290.25

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Solution

The third proportional to 48,801.75 and 66,290.25 is: 90,045.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,801.75 : 66,290.25 = 66,290.25 : x
  2. Step 2: Convert to fraction form
    48,801.75/66,290.25 = 66,290.25/x
  3. Step 3: Cross multiply
    48,801.75x = 66,290.25 × 66,290.25
  4. Step 4: Simplify right side
    48,801.75x = 4,394,397,245.06
  5. Step 5: Solve for x
    x = 4,394,397,245.06/48,801.75
  6. Step 6: Final answer
    x = 90,045.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.