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Finding the Third Proportional to 54,444.50 and 81,983.50

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Solution

The third proportional to 54,444.50 and 81,983.50 is: 123,452.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,444.50 : 81,983.50 = 81,983.50 : x
  2. Step 2: Convert to fraction form
    54,444.50/81,983.50 = 81,983.50/x
  3. Step 3: Cross multiply
    54,444.50x = 81,983.50 × 81,983.50
  4. Step 4: Simplify right side
    54,444.50x = 6,721,294,272.25
  5. Step 5: Solve for x
    x = 6,721,294,272.25/54,444.50
  6. Step 6: Final answer
    x = 123,452.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.