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Finding the Third Proportional to 1,142 and 1,634

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Solution

The third proportional to 1,142 and 1,634 is: 2,337.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142 : 1,634 = 1,634 : x
  2. Step 2: Convert to fraction form
    1,142/1,634 = 1,634/x
  3. Step 3: Cross multiply
    1,142x = 1,634 × 1,634
  4. Step 4: Simplify right side
    1,142x = 2,669,956
  5. Step 5: Solve for x
    x = 2,669,956/1,142
  6. Step 6: Final answer
    x = 2,337.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.