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Finding the Third Proportional to 38,816.44 and 58,419

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Solution

The third proportional to 38,816.44 and 58,419 is: 87,920.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,816.44 : 58,419 = 58,419 : x
  2. Step 2: Convert to fraction form
    38,816.44/58,419 = 58,419/x
  3. Step 3: Cross multiply
    38,816.44x = 58,419 × 58,419
  4. Step 4: Simplify right side
    38,816.44x = 3,412,779,561
  5. Step 5: Solve for x
    x = 3,412,779,561/38,816.44
  6. Step 6: Final answer
    x = 87,920.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.