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Finding the Third Proportional to 31,863 and 67,521

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Solution

The third proportional to 31,863 and 67,521 is: 143,084.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,863 : 67,521 = 67,521 : x
  2. Step 2: Convert to fraction form
    31,863/67,521 = 67,521/x
  3. Step 3: Cross multiply
    31,863x = 67,521 × 67,521
  4. Step 4: Simplify right side
    31,863x = 4,559,085,441
  5. Step 5: Solve for x
    x = 4,559,085,441/31,863
  6. Step 6: Final answer
    x = 143,084.00

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.