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Finding the Third Proportional to 971 and 1,730

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Solution

The third proportional to 971 and 1,730 is: 3,082.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    971 : 1,730 = 1,730 : x
  2. Step 2: Convert to fraction form
    971/1,730 = 1,730/x
  3. Step 3: Cross multiply
    971x = 1,730 × 1,730
  4. Step 4: Simplify right side
    971x = 2,992,900
  5. Step 5: Solve for x
    x = 2,992,900/971
  6. Step 6: Final answer
    x = 3,082.29

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.