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Finding the Third Proportional to 971.50 and 1,489

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Solution

The third proportional to 971.50 and 1,489 is: 2,282.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.50 : 1,489 = 1,489 : x
  2. Step 2: Convert to fraction form
    971.50/1,489 = 1,489/x
  3. Step 3: Cross multiply
    971.50x = 1,489 × 1,489
  4. Step 4: Simplify right side
    971.50x = 2,217,121
  5. Step 5: Solve for x
    x = 2,217,121/971.50
  6. Step 6: Final answer
    x = 2,282.16

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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.