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Finding the Third Proportional to 982.55 and 2,100.52

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Solution

The third proportional to 982.55 and 2,100.52 is: 4,490.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.55 : 2,100.52 = 2,100.52 : x
  2. Step 2: Convert to fraction form
    982.55/2,100.52 = 2,100.52/x
  3. Step 3: Cross multiply
    982.55x = 2,100.52 × 2,100.52
  4. Step 4: Simplify right side
    982.55x = 4,412,165.89
  5. Step 5: Solve for x
    x = 4,412,165.89/982.55
  6. Step 6: Final answer
    x = 4,490.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.