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Finding the Third Proportional to 32,128.88 and 48,004.31

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Solution

The third proportional to 32,128.88 and 48,004.31 is: 71,724.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,128.88 : 48,004.31 = 48,004.31 : x
  2. Step 2: Convert to fraction form
    32,128.88/48,004.31 = 48,004.31/x
  3. Step 3: Cross multiply
    32,128.88x = 48,004.31 × 48,004.31
  4. Step 4: Simplify right side
    32,128.88x = 2,304,414,018.60
  5. Step 5: Solve for x
    x = 2,304,414,018.60/32,128.88
  6. Step 6: Final answer
    x = 71,724.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.