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Finding the Third Proportional to 33,656.50 and 71,687

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Solution

The third proportional to 33,656.50 and 71,687 is: 152,690.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,656.50 : 71,687 = 71,687 : x
  2. Step 2: Convert to fraction form
    33,656.50/71,687 = 71,687/x
  3. Step 3: Cross multiply
    33,656.50x = 71,687 × 71,687
  4. Step 4: Simplify right side
    33,656.50x = 5,139,025,969
  5. Step 5: Solve for x
    x = 5,139,025,969/33,656.50
  6. Step 6: Final answer
    x = 152,690.45

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.