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Finding the Third Proportional to 31,714 and 42,723

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Solution

The third proportional to 31,714 and 42,723 is: 57,553.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,714 : 42,723 = 42,723 : x
  2. Step 2: Convert to fraction form
    31,714/42,723 = 42,723/x
  3. Step 3: Cross multiply
    31,714x = 42,723 × 42,723
  4. Step 4: Simplify right side
    31,714x = 1,825,254,729
  5. Step 5: Solve for x
    x = 1,825,254,729/31,714
  6. Step 6: Final answer
    x = 57,553.60

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.