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Finding the Third Proportional to 38,197.50 and 83,778

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Solution

The third proportional to 38,197.50 and 83,778 is: 183,749.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,197.50 : 83,778 = 83,778 : x
  2. Step 2: Convert to fraction form
    38,197.50/83,778 = 83,778/x
  3. Step 3: Cross multiply
    38,197.50x = 83,778 × 83,778
  4. Step 4: Simplify right side
    38,197.50x = 7,018,753,284
  5. Step 5: Solve for x
    x = 7,018,753,284/38,197.50
  6. Step 6: Final answer
    x = 183,749.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.