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Finding the Third Proportional to 24,154 and 27,799

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Solution

The third proportional to 24,154 and 27,799 is: 31,994.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,154 : 27,799 = 27,799 : x
  2. Step 2: Convert to fraction form
    24,154/27,799 = 27,799/x
  3. Step 3: Cross multiply
    24,154x = 27,799 × 27,799
  4. Step 4: Simplify right side
    24,154x = 772,784,401
  5. Step 5: Solve for x
    x = 772,784,401/24,154
  6. Step 6: Final answer
    x = 31,994.05

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.