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Finding the Third Proportional to 27,470 and 60,286

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Solution

The third proportional to 27,470 and 60,286 is: 132,304.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,470 : 60,286 = 60,286 : x
  2. Step 2: Convert to fraction form
    27,470/60,286 = 60,286/x
  3. Step 3: Cross multiply
    27,470x = 60,286 × 60,286
  4. Step 4: Simplify right side
    27,470x = 3,634,401,796
  5. Step 5: Solve for x
    x = 3,634,401,796/27,470
  6. Step 6: Final answer
    x = 132,304.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.