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Finding the Third Proportional to 38,340 and 83,429

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Solution

The third proportional to 38,340 and 83,429 is: 181,544.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,340 : 83,429 = 83,429 : x
  2. Step 2: Convert to fraction form
    38,340/83,429 = 83,429/x
  3. Step 3: Cross multiply
    38,340x = 83,429 × 83,429
  4. Step 4: Simplify right side
    38,340x = 6,960,398,041
  5. Step 5: Solve for x
    x = 6,960,398,041/38,340
  6. Step 6: Final answer
    x = 181,544.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.