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Finding the Third Proportional to 38,342 and 56,224

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Solution

The third proportional to 38,342 and 56,224 is: 82,445.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,342 : 56,224 = 56,224 : x
  2. Step 2: Convert to fraction form
    38,342/56,224 = 56,224/x
  3. Step 3: Cross multiply
    38,342x = 56,224 × 56,224
  4. Step 4: Simplify right side
    38,342x = 3,161,138,176
  5. Step 5: Solve for x
    x = 3,161,138,176/38,342
  6. Step 6: Final answer
    x = 82,445.83

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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.