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Finding the Third Proportional to 38,302 and 57,221

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Solution

The third proportional to 38,302 and 57,221 is: 85,484.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,302 : 57,221 = 57,221 : x
  2. Step 2: Convert to fraction form
    38,302/57,221 = 57,221/x
  3. Step 3: Cross multiply
    38,302x = 57,221 × 57,221
  4. Step 4: Simplify right side
    38,302x = 3,274,242,841
  5. Step 5: Solve for x
    x = 3,274,242,841/38,302
  6. Step 6: Final answer
    x = 85,484.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.