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Finding the Third Proportional to 38,228.63 and 56,217.38

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Solution

The third proportional to 38,228.63 and 56,217.38 is: 82,670.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,228.63 : 56,217.38 = 56,217.38 : x
  2. Step 2: Convert to fraction form
    38,228.63/56,217.38 = 56,217.38/x
  3. Step 3: Cross multiply
    38,228.63x = 56,217.38 × 56,217.38
  4. Step 4: Simplify right side
    38,228.63x = 3,160,393,251.89
  5. Step 5: Solve for x
    x = 3,160,393,251.89/38,228.63
  6. Step 6: Final answer
    x = 82,670.86

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.