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Finding the Third Proportional to 38,357 and 79,376

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Solution

The third proportional to 38,357 and 79,376 is: 164,260.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,357 : 79,376 = 79,376 : x
  2. Step 2: Convert to fraction form
    38,357/79,376 = 79,376/x
  3. Step 3: Cross multiply
    38,357x = 79,376 × 79,376
  4. Step 4: Simplify right side
    38,357x = 6,300,549,376
  5. Step 5: Solve for x
    x = 6,300,549,376/38,357
  6. Step 6: Final answer
    x = 164,260.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.