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Finding the Third Proportional to 38,348 and 83,443

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Solution

The third proportional to 38,348 and 83,443 is: 181,567.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,348 : 83,443 = 83,443 : x
  2. Step 2: Convert to fraction form
    38,348/83,443 = 83,443/x
  3. Step 3: Cross multiply
    38,348x = 83,443 × 83,443
  4. Step 4: Simplify right side
    38,348x = 6,962,734,249
  5. Step 5: Solve for x
    x = 6,962,734,249/38,348
  6. Step 6: Final answer
    x = 181,567.08

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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.