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Finding the Third Proportional to 41,642.44 and 59,349.38

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Solution

The third proportional to 41,642.44 and 59,349.38 is: 84,585.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,642.44 : 59,349.38 = 59,349.38 : x
  2. Step 2: Convert to fraction form
    41,642.44/59,349.38 = 59,349.38/x
  3. Step 3: Cross multiply
    41,642.44x = 59,349.38 × 59,349.38
  4. Step 4: Simplify right side
    41,642.44x = 3,522,348,312.89
  5. Step 5: Solve for x
    x = 3,522,348,312.89/41,642.44
  6. Step 6: Final answer
    x = 84,585.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.