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Finding the Third Proportional to 34,319.25 and 51,177.75

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Solution

The third proportional to 34,319.25 and 51,177.75 is: 76,317.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,319.25 : 51,177.75 = 51,177.75 : x
  2. Step 2: Convert to fraction form
    34,319.25/51,177.75 = 51,177.75/x
  3. Step 3: Cross multiply
    34,319.25x = 51,177.75 × 51,177.75
  4. Step 4: Simplify right side
    34,319.25x = 2,619,162,095.06
  5. Step 5: Solve for x
    x = 2,619,162,095.06/34,319.25
  6. Step 6: Final answer
    x = 76,317.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.