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Finding the Third Proportional to 40,192.75 and 59,043.75

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Solution

The third proportional to 40,192.75 and 59,043.75 is: 86,736.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,192.75 : 59,043.75 = 59,043.75 : x
  2. Step 2: Convert to fraction form
    40,192.75/59,043.75 = 59,043.75/x
  3. Step 3: Cross multiply
    40,192.75x = 59,043.75 × 59,043.75
  4. Step 4: Simplify right side
    40,192.75x = 3,486,164,414.06
  5. Step 5: Solve for x
    x = 3,486,164,414.06/40,192.75
  6. Step 6: Final answer
    x = 86,736.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.