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Finding the Third Proportional to 26,778 and 56,574

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Solution

The third proportional to 26,778 and 56,574 is: 119,524.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,778 : 56,574 = 56,574 : x
  2. Step 2: Convert to fraction form
    26,778/56,574 = 56,574/x
  3. Step 3: Cross multiply
    26,778x = 56,574 × 56,574
  4. Step 4: Simplify right side
    26,778x = 3,200,617,476
  5. Step 5: Solve for x
    x = 3,200,617,476/26,778
  6. Step 6: Final answer
    x = 119,524.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.