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Finding the Third Proportional to 17,776 and 26,799

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Solution

The third proportional to 17,776 and 26,799 is: 40,402.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,776 : 26,799 = 26,799 : x
  2. Step 2: Convert to fraction form
    17,776/26,799 = 26,799/x
  3. Step 3: Cross multiply
    17,776x = 26,799 × 26,799
  4. Step 4: Simplify right side
    17,776x = 718,186,401
  5. Step 5: Solve for x
    x = 718,186,401/17,776
  6. Step 6: Final answer
    x = 40,402.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.