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Finding the Third Proportional to 27,376 and 42,270

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Solution

The third proportional to 27,376 and 42,270 is: 65,267.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,376 : 42,270 = 42,270 : x
  2. Step 2: Convert to fraction form
    27,376/42,270 = 42,270/x
  3. Step 3: Cross multiply
    27,376x = 42,270 × 42,270
  4. Step 4: Simplify right side
    27,376x = 1,786,752,900
  5. Step 5: Solve for x
    x = 1,786,752,900/27,376
  6. Step 6: Final answer
    x = 65,267.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.