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Finding the Third Proportional to 38,421 and 58,421.25

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Solution

The third proportional to 38,421 and 58,421.25 is: 88,832.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,421 : 58,421.25 = 58,421.25 : x
  2. Step 2: Convert to fraction form
    38,421/58,421.25 = 58,421.25/x
  3. Step 3: Cross multiply
    38,421x = 58,421.25 × 58,421.25
  4. Step 4: Simplify right side
    38,421x = 3,413,042,451.56
  5. Step 5: Solve for x
    x = 3,413,042,451.56/38,421
  6. Step 6: Final answer
    x = 88,832.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.