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Finding the Third Proportional to 34,043.25 and 51,785.25

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Solution

The third proportional to 34,043.25 and 51,785.25 is: 78,773.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,043.25 : 51,785.25 = 51,785.25 : x
  2. Step 2: Convert to fraction form
    34,043.25/51,785.25 = 51,785.25/x
  3. Step 3: Cross multiply
    34,043.25x = 51,785.25 × 51,785.25
  4. Step 4: Simplify right side
    34,043.25x = 2,681,712,117.56
  5. Step 5: Solve for x
    x = 2,681,712,117.56/34,043.25
  6. Step 6: Final answer
    x = 78,773.68

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.