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Finding the Third Proportional to 34,597.13 and 62,405.44

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Solution

The third proportional to 34,597.13 and 62,405.44 is: 112,565.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,597.13 : 62,405.44 = 62,405.44 : x
  2. Step 2: Convert to fraction form
    34,597.13/62,405.44 = 62,405.44/x
  3. Step 3: Cross multiply
    34,597.13x = 62,405.44 × 62,405.44
  4. Step 4: Simplify right side
    34,597.13x = 3,894,438,629.57
  5. Step 5: Solve for x
    x = 3,894,438,629.57/34,597.13
  6. Step 6: Final answer
    x = 112,565.38

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.