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Finding the Third Proportional to 38,346.75 and 82,023.75

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Solution

The third proportional to 38,346.75 and 82,023.75 is: 175,448.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,346.75 : 82,023.75 = 82,023.75 : x
  2. Step 2: Convert to fraction form
    38,346.75/82,023.75 = 82,023.75/x
  3. Step 3: Cross multiply
    38,346.75x = 82,023.75 × 82,023.75
  4. Step 4: Simplify right side
    38,346.75x = 6,727,895,564.06
  5. Step 5: Solve for x
    x = 6,727,895,564.06/38,346.75
  6. Step 6: Final answer
    x = 175,448.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.