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Finding the Third Proportional to 38,490 and 82,548

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Solution

The third proportional to 38,490 and 82,548 is: 177,037.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,490 : 82,548 = 82,548 : x
  2. Step 2: Convert to fraction form
    38,490/82,548 = 82,548/x
  3. Step 3: Cross multiply
    38,490x = 82,548 × 82,548
  4. Step 4: Simplify right side
    38,490x = 6,814,172,304
  5. Step 5: Solve for x
    x = 6,814,172,304/38,490
  6. Step 6: Final answer
    x = 177,037.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.