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Finding the Third Proportional to 1,030 and 1,126

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Solution

The third proportional to 1,030 and 1,126 is: 1,230.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030 : 1,126 = 1,126 : x
  2. Step 2: Convert to fraction form
    1,030/1,126 = 1,126/x
  3. Step 3: Cross multiply
    1,030x = 1,126 × 1,126
  4. Step 4: Simplify right side
    1,030x = 1,267,876
  5. Step 5: Solve for x
    x = 1,267,876/1,030
  6. Step 6: Final answer
    x = 1,230.95

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.