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Finding the Third Proportional to 14,246 and 31,180

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Solution

The third proportional to 14,246 and 31,180 is: 68,243.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,246 : 31,180 = 31,180 : x
  2. Step 2: Convert to fraction form
    14,246/31,180 = 31,180/x
  3. Step 3: Cross multiply
    14,246x = 31,180 × 31,180
  4. Step 4: Simplify right side
    14,246x = 972,192,400
  5. Step 5: Solve for x
    x = 972,192,400/14,246
  6. Step 6: Final answer
    x = 68,243.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.