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Finding the Third Proportional to 38,386 and 83,329

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Solution

The third proportional to 38,386 and 83,329 is: 180,892.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,386 : 83,329 = 83,329 : x
  2. Step 2: Convert to fraction form
    38,386/83,329 = 83,329/x
  3. Step 3: Cross multiply
    38,386x = 83,329 × 83,329
  4. Step 4: Simplify right side
    38,386x = 6,943,722,241
  5. Step 5: Solve for x
    x = 6,943,722,241/38,386
  6. Step 6: Final answer
    x = 180,892.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.