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Finding the Third Proportional to 4,120.50 and 9,061.13

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Solution

The third proportional to 4,120.50 and 9,061.13 is: 19,925.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.50 : 9,061.13 = 9,061.13 : x
  2. Step 2: Convert to fraction form
    4,120.50/9,061.13 = 9,061.13/x
  3. Step 3: Cross multiply
    4,120.50x = 9,061.13 × 9,061.13
  4. Step 4: Simplify right side
    4,120.50x = 82,103,986.27
  5. Step 5: Solve for x
    x = 82,103,986.27/4,120.50
  6. Step 6: Final answer
    x = 19,925.73

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.