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Finding the Third Proportional to 38,344.50 and 83,865

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Solution

The third proportional to 38,344.50 and 83,865 is: 183,424.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,344.50 : 83,865 = 83,865 : x
  2. Step 2: Convert to fraction form
    38,344.50/83,865 = 83,865/x
  3. Step 3: Cross multiply
    38,344.50x = 83,865 × 83,865
  4. Step 4: Simplify right side
    38,344.50x = 7,033,338,225
  5. Step 5: Solve for x
    x = 7,033,338,225/38,344.50
  6. Step 6: Final answer
    x = 183,424.96

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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.