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Finding the Third Proportional to 15,331.78 and 34,695.84

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Solution

The third proportional to 15,331.78 and 34,695.84 is: 78,516.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,331.78 : 34,695.84 = 34,695.84 : x
  2. Step 2: Convert to fraction form
    15,331.78/34,695.84 = 34,695.84/x
  3. Step 3: Cross multiply
    15,331.78x = 34,695.84 × 34,695.84
  4. Step 4: Simplify right side
    15,331.78x = 1,203,801,573.52
  5. Step 5: Solve for x
    x = 1,203,801,573.52/15,331.78
  6. Step 6: Final answer
    x = 78,516.75

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.