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Finding the Third Proportional to 38,217.66 and 56,203.03

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Solution

The third proportional to 38,217.66 and 56,203.03 is: 82,652.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,217.66 : 56,203.03 = 56,203.03 : x
  2. Step 2: Convert to fraction form
    38,217.66/56,203.03 = 56,203.03/x
  3. Step 3: Cross multiply
    38,217.66x = 56,203.03 × 56,203.03
  4. Step 4: Simplify right side
    38,217.66x = 3,158,780,721.69
  5. Step 5: Solve for x
    x = 3,158,780,721.69/38,217.66
  6. Step 6: Final answer
    x = 82,652.39

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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.