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Finding the Third Proportional to 32,459.48 and 70,872.47

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Solution

The third proportional to 32,459.48 and 70,872.47 is: 154,743.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,459.48 : 70,872.47 = 70,872.47 : x
  2. Step 2: Convert to fraction form
    32,459.48/70,872.47 = 70,872.47/x
  3. Step 3: Cross multiply
    32,459.48x = 70,872.47 × 70,872.47
  4. Step 4: Simplify right side
    32,459.48x = 5,022,906,826.72
  5. Step 5: Solve for x
    x = 5,022,906,826.72/32,459.48
  6. Step 6: Final answer
    x = 154,743.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.