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Finding the Third Proportional to 40,084.50 and 86,590.50

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Solution

The third proportional to 40,084.50 and 86,590.50 is: 187,052.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,084.50 : 86,590.50 = 86,590.50 : x
  2. Step 2: Convert to fraction form
    40,084.50/86,590.50 = 86,590.50/x
  3. Step 3: Cross multiply
    40,084.50x = 86,590.50 × 86,590.50
  4. Step 4: Simplify right side
    40,084.50x = 7,497,914,690.25
  5. Step 5: Solve for x
    x = 7,497,914,690.25/40,084.50
  6. Step 6: Final answer
    x = 187,052.72

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.