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Finding the Third Proportional to 581.77 and 1,266.12

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Solution

The third proportional to 581.77 and 1,266.12 is: 2,755.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.77 : 1,266.12 = 1,266.12 : x
  2. Step 2: Convert to fraction form
    581.77/1,266.12 = 1,266.12/x
  3. Step 3: Cross multiply
    581.77x = 1,266.12 × 1,266.12
  4. Step 4: Simplify right side
    581.77x = 1,603,052.73
  5. Step 5: Solve for x
    x = 1,603,052.73/581.77
  6. Step 6: Final answer
    x = 2,755.50

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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.