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Finding the Third Proportional to 32,475.56 and 51,714.94

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Solution

The third proportional to 32,475.56 and 51,714.94 is: 82,352.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,475.56 : 51,714.94 = 51,714.94 : x
  2. Step 2: Convert to fraction form
    32,475.56/51,714.94 = 51,714.94/x
  3. Step 3: Cross multiply
    32,475.56x = 51,714.94 × 51,714.94
  4. Step 4: Simplify right side
    32,475.56x = 2,674,434,760.63
  5. Step 5: Solve for x
    x = 2,674,434,760.63/32,475.56
  6. Step 6: Final answer
    x = 82,352.22

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.