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Finding the Third Proportional to 38,175 and 81,423

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Solution

The third proportional to 38,175 and 81,423 is: 173,666.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,175 : 81,423 = 81,423 : x
  2. Step 2: Convert to fraction form
    38,175/81,423 = 81,423/x
  3. Step 3: Cross multiply
    38,175x = 81,423 × 81,423
  4. Step 4: Simplify right side
    38,175x = 6,629,704,929
  5. Step 5: Solve for x
    x = 6,629,704,929/38,175
  6. Step 6: Final answer
    x = 173,666.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.