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Finding the Third Proportional to 21,112 and 31,708

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Solution

The third proportional to 21,112 and 31,708 is: 47,622.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,112 : 31,708 = 31,708 : x
  2. Step 2: Convert to fraction form
    21,112/31,708 = 31,708/x
  3. Step 3: Cross multiply
    21,112x = 31,708 × 31,708
  4. Step 4: Simplify right side
    21,112x = 1,005,397,264
  5. Step 5: Solve for x
    x = 1,005,397,264/21,112
  6. Step 6: Final answer
    x = 47,622.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.