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Finding the Third Proportional to 38,221 and 56,155

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Solution

The third proportional to 38,221 and 56,155 is: 82,503.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,221 : 56,155 = 56,155 : x
  2. Step 2: Convert to fraction form
    38,221/56,155 = 56,155/x
  3. Step 3: Cross multiply
    38,221x = 56,155 × 56,155
  4. Step 4: Simplify right side
    38,221x = 3,153,384,025
  5. Step 5: Solve for x
    x = 3,153,384,025/38,221
  6. Step 6: Final answer
    x = 82,503.96

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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.