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Finding the Third Proportional to 40,868.25 and 87,568.50

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Solution

The third proportional to 40,868.25 and 87,568.50 is: 187,633.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,868.25 : 87,568.50 = 87,568.50 : x
  2. Step 2: Convert to fraction form
    40,868.25/87,568.50 = 87,568.50/x
  3. Step 3: Cross multiply
    40,868.25x = 87,568.50 × 87,568.50
  4. Step 4: Simplify right side
    40,868.25x = 7,668,242,192.25
  5. Step 5: Solve for x
    x = 7,668,242,192.25/40,868.25
  6. Step 6: Final answer
    x = 187,633.24

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.