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Finding the Third Proportional to 21,976 and 31,312

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Solution

The third proportional to 21,976 and 31,312 is: 44,614.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,976 : 31,312 = 31,312 : x
  2. Step 2: Convert to fraction form
    21,976/31,312 = 31,312/x
  3. Step 3: Cross multiply
    21,976x = 31,312 × 31,312
  4. Step 4: Simplify right side
    21,976x = 980,441,344
  5. Step 5: Solve for x
    x = 980,441,344/21,976
  6. Step 6: Final answer
    x = 44,614.19

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.