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Finding the Third Proportional to 38,881 and 58,309

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Solution

The third proportional to 38,881 and 58,309 is: 87,444.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,881 : 58,309 = 58,309 : x
  2. Step 2: Convert to fraction form
    38,881/58,309 = 58,309/x
  3. Step 3: Cross multiply
    38,881x = 58,309 × 58,309
  4. Step 4: Simplify right side
    38,881x = 3,399,939,481
  5. Step 5: Solve for x
    x = 3,399,939,481/38,881
  6. Step 6: Final answer
    x = 87,444.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.