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Finding the Third Proportional to 40,221.50 and 85,783

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Solution

The third proportional to 40,221.50 and 85,783 is: 182,954.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,221.50 : 85,783 = 85,783 : x
  2. Step 2: Convert to fraction form
    40,221.50/85,783 = 85,783/x
  3. Step 3: Cross multiply
    40,221.50x = 85,783 × 85,783
  4. Step 4: Simplify right side
    40,221.50x = 7,358,723,089
  5. Step 5: Solve for x
    x = 7,358,723,089/40,221.50
  6. Step 6: Final answer
    x = 182,954.96

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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.