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Finding the Third Proportional to 971 and 1,487

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Solution

The third proportional to 971 and 1,487 is: 2,277.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    971 : 1,487 = 1,487 : x
  2. Step 2: Convert to fraction form
    971/1,487 = 1,487/x
  3. Step 3: Cross multiply
    971x = 1,487 × 1,487
  4. Step 4: Simplify right side
    971x = 2,211,169
  5. Step 5: Solve for x
    x = 2,211,169/971
  6. Step 6: Final answer
    x = 2,277.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.