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Finding the Third Proportional to 40,049.44 and 85,275.28

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Solution

The third proportional to 40,049.44 and 85,275.28 is: 181,572.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,049.44 : 85,275.28 = 85,275.28 : x
  2. Step 2: Convert to fraction form
    40,049.44/85,275.28 = 85,275.28/x
  3. Step 3: Cross multiply
    40,049.44x = 85,275.28 × 85,275.28
  4. Step 4: Simplify right side
    40,049.44x = 7,271,873,592.27
  5. Step 5: Solve for x
    x = 7,271,873,592.27/40,049.44
  6. Step 6: Final answer
    x = 181,572.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.