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Finding the Third Proportional to 12,776 and 27,482

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Solution

The third proportional to 12,776 and 27,482 is: 59,115.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776 : 27,482 = 27,482 : x
  2. Step 2: Convert to fraction form
    12,776/27,482 = 27,482/x
  3. Step 3: Cross multiply
    12,776x = 27,482 × 27,482
  4. Step 4: Simplify right side
    12,776x = 755,260,324
  5. Step 5: Solve for x
    x = 755,260,324/12,776
  6. Step 6: Final answer
    x = 59,115.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.