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Finding the Third Proportional to 38,307.50 and 89,019

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Solution

The third proportional to 38,307.50 and 89,019 is: 206,862.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,307.50 : 89,019 = 89,019 : x
  2. Step 2: Convert to fraction form
    38,307.50/89,019 = 89,019/x
  3. Step 3: Cross multiply
    38,307.50x = 89,019 × 89,019
  4. Step 4: Simplify right side
    38,307.50x = 7,924,382,361
  5. Step 5: Solve for x
    x = 7,924,382,361/38,307.50
  6. Step 6: Final answer
    x = 206,862.43

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.