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Finding the Third Proportional to 1,045 and 1,133

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Solution

The third proportional to 1,045 and 1,133 is: 1,228.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045 : 1,133 = 1,133 : x
  2. Step 2: Convert to fraction form
    1,045/1,133 = 1,133/x
  3. Step 3: Cross multiply
    1,045x = 1,133 × 1,133
  4. Step 4: Simplify right side
    1,045x = 1,283,689
  5. Step 5: Solve for x
    x = 1,283,689/1,045
  6. Step 6: Final answer
    x = 1,228.41

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.