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Finding the Third Proportional to 38,073 and 87,748.50

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Solution

The third proportional to 38,073 and 87,748.50 is: 202,237.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,073 : 87,748.50 = 87,748.50 : x
  2. Step 2: Convert to fraction form
    38,073/87,748.50 = 87,748.50/x
  3. Step 3: Cross multiply
    38,073x = 87,748.50 × 87,748.50
  4. Step 4: Simplify right side
    38,073x = 7,699,799,252.25
  5. Step 5: Solve for x
    x = 7,699,799,252.25/38,073
  6. Step 6: Final answer
    x = 202,237.79

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.