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Finding the Third Proportional to 17,747 and 41,078

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Solution

The third proportional to 17,747 and 41,078 is: 95,080.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,747 : 41,078 = 41,078 : x
  2. Step 2: Convert to fraction form
    17,747/41,078 = 41,078/x
  3. Step 3: Cross multiply
    17,747x = 41,078 × 41,078
  4. Step 4: Simplify right side
    17,747x = 1,687,402,084
  5. Step 5: Solve for x
    x = 1,687,402,084/17,747
  6. Step 6: Final answer
    x = 95,080.98

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.