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Finding the Third Proportional to 1,034 and 1,373

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Solution

The third proportional to 1,034 and 1,373 is: 1,823.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034 : 1,373 = 1,373 : x
  2. Step 2: Convert to fraction form
    1,034/1,373 = 1,373/x
  3. Step 3: Cross multiply
    1,034x = 1,373 × 1,373
  4. Step 4: Simplify right side
    1,034x = 1,885,129
  5. Step 5: Solve for x
    x = 1,885,129/1,034
  6. Step 6: Final answer
    x = 1,823.14

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.