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Finding the Third Proportional to 26,778 and 58,319

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Solution

The third proportional to 26,778 and 58,319 is: 127,011.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,778 : 58,319 = 58,319 : x
  2. Step 2: Convert to fraction form
    26,778/58,319 = 58,319/x
  3. Step 3: Cross multiply
    26,778x = 58,319 × 58,319
  4. Step 4: Simplify right side
    26,778x = 3,401,105,761
  5. Step 5: Solve for x
    x = 3,401,105,761/26,778
  6. Step 6: Final answer
    x = 127,011.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.