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Finding the Third Proportional to 4,032.25 and 6,050.13

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Solution

The third proportional to 4,032.25 and 6,050.13 is: 9,077.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,032.25 : 6,050.13 = 6,050.13 : x
  2. Step 2: Convert to fraction form
    4,032.25/6,050.13 = 6,050.13/x
  3. Step 3: Cross multiply
    4,032.25x = 6,050.13 × 6,050.13
  4. Step 4: Simplify right side
    4,032.25x = 36,604,012.52
  5. Step 5: Solve for x
    x = 36,604,012.52/4,032.25
  6. Step 6: Final answer
    x = 9,077.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.