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Finding the Third Proportional to 23,034.38 and 34,713.56

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Solution

The third proportional to 23,034.38 and 34,713.56 is: 52,314.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,034.38 : 34,713.56 = 34,713.56 : x
  2. Step 2: Convert to fraction form
    23,034.38/34,713.56 = 34,713.56/x
  3. Step 3: Cross multiply
    23,034.38x = 34,713.56 × 34,713.56
  4. Step 4: Simplify right side
    23,034.38x = 1,205,031,421.44
  5. Step 5: Solve for x
    x = 1,205,031,421.44/23,034.38
  6. Step 6: Final answer
    x = 52,314.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.