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Finding the Third Proportional to 997.04 and 2,125.06

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Solution

The third proportional to 997.04 and 2,125.06 is: 4,529.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.04 : 2,125.06 = 2,125.06 : x
  2. Step 2: Convert to fraction form
    997.04/2,125.06 = 2,125.06/x
  3. Step 3: Cross multiply
    997.04x = 2,125.06 × 2,125.06
  4. Step 4: Simplify right side
    997.04x = 4,515,894.78
  5. Step 5: Solve for x
    x = 4,515,894.78/997.04
  6. Step 6: Final answer
    x = 4,529.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.