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Finding the Third Proportional to 38,929.50 and 85,395

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Solution

The third proportional to 38,929.50 and 85,395 is: 187,320.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,929.50 : 85,395 = 85,395 : x
  2. Step 2: Convert to fraction form
    38,929.50/85,395 = 85,395/x
  3. Step 3: Cross multiply
    38,929.50x = 85,395 × 85,395
  4. Step 4: Simplify right side
    38,929.50x = 7,292,306,025
  5. Step 5: Solve for x
    x = 7,292,306,025/38,929.50
  6. Step 6: Final answer
    x = 187,320.82

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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.