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Finding the Third Proportional to 40,348.75 and 82,337.50

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Solution

The third proportional to 40,348.75 and 82,337.50 is: 168,021.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,348.75 : 82,337.50 = 82,337.50 : x
  2. Step 2: Convert to fraction form
    40,348.75/82,337.50 = 82,337.50/x
  3. Step 3: Cross multiply
    40,348.75x = 82,337.50 × 82,337.50
  4. Step 4: Simplify right side
    40,348.75x = 6,779,463,906.25
  5. Step 5: Solve for x
    x = 6,779,463,906.25/40,348.75
  6. Step 6: Final answer
    x = 168,021.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.