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Finding the Third Proportional to 54,432 and 63,072

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Solution

The third proportional to 54,432 and 63,072 is: 73,083.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,432 : 63,072 = 63,072 : x
  2. Step 2: Convert to fraction form
    54,432/63,072 = 63,072/x
  3. Step 3: Cross multiply
    54,432x = 63,072 × 63,072
  4. Step 4: Simplify right side
    54,432x = 3,978,077,184
  5. Step 5: Solve for x
    x = 3,978,077,184/54,432
  6. Step 6: Final answer
    x = 73,083.43

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.