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Finding the Third Proportional to 27,786 and 40,523

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Solution

The third proportional to 27,786 and 40,523 is: 59,098.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,786 : 40,523 = 40,523 : x
  2. Step 2: Convert to fraction form
    27,786/40,523 = 40,523/x
  3. Step 3: Cross multiply
    27,786x = 40,523 × 40,523
  4. Step 4: Simplify right side
    27,786x = 1,642,113,529
  5. Step 5: Solve for x
    x = 1,642,113,529/27,786
  6. Step 6: Final answer
    x = 59,098.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.