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Finding the Third Proportional to 15,942.66 and 34,756.59

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Solution

The third proportional to 15,942.66 and 34,756.59 is: 75,772.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,942.66 : 34,756.59 = 34,756.59 : x
  2. Step 2: Convert to fraction form
    15,942.66/34,756.59 = 34,756.59/x
  3. Step 3: Cross multiply
    15,942.66x = 34,756.59 × 34,756.59
  4. Step 4: Simplify right side
    15,942.66x = 1,208,020,809.10
  5. Step 5: Solve for x
    x = 1,208,020,809.10/15,942.66
  6. Step 6: Final answer
    x = 75,772.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.