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Finding the Third Proportional to 40,714.31 and 63,952.88

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Solution

The third proportional to 40,714.31 and 63,952.88 is: 100,455.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,714.31 : 63,952.88 = 63,952.88 : x
  2. Step 2: Convert to fraction form
    40,714.31/63,952.88 = 63,952.88/x
  3. Step 3: Cross multiply
    40,714.31x = 63,952.88 × 63,952.88
  4. Step 4: Simplify right side
    40,714.31x = 4,089,970,220.77
  5. Step 5: Solve for x
    x = 4,089,970,220.77/40,714.31
  6. Step 6: Final answer
    x = 100,455.34

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.