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Finding the Third Proportional to 1,040 and 1,187

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Solution

The third proportional to 1,040 and 1,187 is: 1,354.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040 : 1,187 = 1,187 : x
  2. Step 2: Convert to fraction form
    1,040/1,187 = 1,187/x
  3. Step 3: Cross multiply
    1,040x = 1,187 × 1,187
  4. Step 4: Simplify right side
    1,040x = 1,408,969
  5. Step 5: Solve for x
    x = 1,408,969/1,040
  6. Step 6: Final answer
    x = 1,354.78

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.