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Finding the Third Proportional to 32,470.88 and 48,576.38

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Solution

The third proportional to 32,470.88 and 48,576.38 is: 72,670.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,470.88 : 48,576.38 = 48,576.38 : x
  2. Step 2: Convert to fraction form
    32,470.88/48,576.38 = 48,576.38/x
  3. Step 3: Cross multiply
    32,470.88x = 48,576.38 × 48,576.38
  4. Step 4: Simplify right side
    32,470.88x = 2,359,664,208.14
  5. Step 5: Solve for x
    x = 2,359,664,208.14/32,470.88
  6. Step 6: Final answer
    x = 72,670.18

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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.