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Finding the Third Proportional to 1,175.77 and 2,502.77

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Solution

The third proportional to 1,175.77 and 2,502.77 is: 5,327.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.77 : 2,502.77 = 2,502.77 : x
  2. Step 2: Convert to fraction form
    1,175.77/2,502.77 = 2,502.77/x
  3. Step 3: Cross multiply
    1,175.77x = 2,502.77 × 2,502.77
  4. Step 4: Simplify right side
    1,175.77x = 6,263,874.88
  5. Step 5: Solve for x
    x = 6,263,874.88/1,175.77
  6. Step 6: Final answer
    x = 5,327.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.