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Finding the Third Proportional to 40,612.75 and 86,486.75

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Solution

The third proportional to 40,612.75 and 86,486.75 is: 184,177.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,612.75 : 86,486.75 = 86,486.75 : x
  2. Step 2: Convert to fraction form
    40,612.75/86,486.75 = 86,486.75/x
  3. Step 3: Cross multiply
    40,612.75x = 86,486.75 × 86,486.75
  4. Step 4: Simplify right side
    40,612.75x = 7,479,957,925.56
  5. Step 5: Solve for x
    x = 7,479,957,925.56/40,612.75
  6. Step 6: Final answer
    x = 184,177.58

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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.