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Finding the Third Proportional to 41,962.92 and 85,864.92

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Solution

The third proportional to 41,962.92 and 85,864.92 is: 175,697.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,962.92 : 85,864.92 = 85,864.92 : x
  2. Step 2: Convert to fraction form
    41,962.92/85,864.92 = 85,864.92/x
  3. Step 3: Cross multiply
    41,962.92x = 85,864.92 × 85,864.92
  4. Step 4: Simplify right side
    41,962.92x = 7,372,784,808.60
  5. Step 5: Solve for x
    x = 7,372,784,808.60/41,962.92
  6. Step 6: Final answer
    x = 175,697.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.