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Finding the Third Proportional to 45,758.25 and 71,715.38

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Solution

The third proportional to 45,758.25 and 71,715.38 is: 112,397.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,758.25 : 71,715.38 = 71,715.38 : x
  2. Step 2: Convert to fraction form
    45,758.25/71,715.38 = 71,715.38/x
  3. Step 3: Cross multiply
    45,758.25x = 71,715.38 × 71,715.38
  4. Step 4: Simplify right side
    45,758.25x = 5,143,095,011.39
  5. Step 5: Solve for x
    x = 5,143,095,011.39/45,758.25
  6. Step 6: Final answer
    x = 112,397.11

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.