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Finding the Third Proportional to 38,992.75 and 58,228.75

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Solution

The third proportional to 38,992.75 and 58,228.75 is: 86,954.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,992.75 : 58,228.75 = 58,228.75 : x
  2. Step 2: Convert to fraction form
    38,992.75/58,228.75 = 58,228.75/x
  3. Step 3: Cross multiply
    38,992.75x = 58,228.75 × 58,228.75
  4. Step 4: Simplify right side
    38,992.75x = 3,390,587,326.56
  5. Step 5: Solve for x
    x = 3,390,587,326.56/38,992.75
  6. Step 6: Final answer
    x = 86,954.30

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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.