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Finding the Third Proportional to 18,712 and 41,578

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Solution

The third proportional to 18,712 and 41,578 is: 92,386.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,712 : 41,578 = 41,578 : x
  2. Step 2: Convert to fraction form
    18,712/41,578 = 41,578/x
  3. Step 3: Cross multiply
    18,712x = 41,578 × 41,578
  4. Step 4: Simplify right side
    18,712x = 1,728,730,084
  5. Step 5: Solve for x
    x = 1,728,730,084/18,712
  6. Step 6: Final answer
    x = 92,386.17

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.