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Finding the Third Proportional to 1,167.54 and 2,554.35

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Solution

The third proportional to 1,167.54 and 2,554.35 is: 5,588.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.54 : 2,554.35 = 2,554.35 : x
  2. Step 2: Convert to fraction form
    1,167.54/2,554.35 = 2,554.35/x
  3. Step 3: Cross multiply
    1,167.54x = 2,554.35 × 2,554.35
  4. Step 4: Simplify right side
    1,167.54x = 6,524,691.95
  5. Step 5: Solve for x
    x = 6,524,691.95/1,167.54
  6. Step 6: Final answer
    x = 5,588.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.