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Finding the Third Proportional to 1,135.41 and 2,444.77

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Solution

The third proportional to 1,135.41 and 2,444.77 is: 5,264.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.41 : 2,444.77 = 2,444.77 : x
  2. Step 2: Convert to fraction form
    1,135.41/2,444.77 = 2,444.77/x
  3. Step 3: Cross multiply
    1,135.41x = 2,444.77 × 2,444.77
  4. Step 4: Simplify right side
    1,135.41x = 5,976,878.96
  5. Step 5: Solve for x
    x = 5,976,878.96/1,135.41
  6. Step 6: Final answer
    x = 5,264.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.