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Finding the Third Proportional to 51,642.25 and 56,050.42

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Solution

The third proportional to 51,642.25 and 56,050.42 is: 60,834.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,642.25 : 56,050.42 = 56,050.42 : x
  2. Step 2: Convert to fraction form
    51,642.25/56,050.42 = 56,050.42/x
  3. Step 3: Cross multiply
    51,642.25x = 56,050.42 × 56,050.42
  4. Step 4: Simplify right side
    51,642.25x = 3,141,649,354.47
  5. Step 5: Solve for x
    x = 3,141,649,354.47/51,642.25
  6. Step 6: Final answer
    x = 60,834.87

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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.