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Finding the Third Proportional to 38,963.88 and 84,008.44

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Solution

The third proportional to 38,963.88 and 84,008.44 is: 181,127.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,963.88 : 84,008.44 = 84,008.44 : x
  2. Step 2: Convert to fraction form
    38,963.88/84,008.44 = 84,008.44/x
  3. Step 3: Cross multiply
    38,963.88x = 84,008.44 × 84,008.44
  4. Step 4: Simplify right side
    38,963.88x = 7,057,417,571.19
  5. Step 5: Solve for x
    x = 7,057,417,571.19/38,963.88
  6. Step 6: Final answer
    x = 181,127.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.