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Finding the Third Proportional to 31,473 and 68,480

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Solution

The third proportional to 31,473 and 68,480 is: 149,001.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,473 : 68,480 = 68,480 : x
  2. Step 2: Convert to fraction form
    31,473/68,480 = 68,480/x
  3. Step 3: Cross multiply
    31,473x = 68,480 × 68,480
  4. Step 4: Simplify right side
    31,473x = 4,689,510,400
  5. Step 5: Solve for x
    x = 4,689,510,400/31,473
  6. Step 6: Final answer
    x = 149,001.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.