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Finding the Third Proportional to 38,785.50 and 83,508

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Solution

The third proportional to 38,785.50 and 83,508 is: 179,798.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,785.50 : 83,508 = 83,508 : x
  2. Step 2: Convert to fraction form
    38,785.50/83,508 = 83,508/x
  3. Step 3: Cross multiply
    38,785.50x = 83,508 × 83,508
  4. Step 4: Simplify right side
    38,785.50x = 6,973,586,064
  5. Step 5: Solve for x
    x = 6,973,586,064/38,785.50
  6. Step 6: Final answer
    x = 179,798.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.