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Finding the Third Proportional to 950.48 and 2,023.10

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Solution

The third proportional to 950.48 and 2,023.10 is: 4,306.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.48 : 2,023.10 = 2,023.10 : x
  2. Step 2: Convert to fraction form
    950.48/2,023.10 = 2,023.10/x
  3. Step 3: Cross multiply
    950.48x = 2,023.10 × 2,023.10
  4. Step 4: Simplify right side
    950.48x = 4,092,939.93
  5. Step 5: Solve for x
    x = 4,092,939.93/950.48
  6. Step 6: Final answer
    x = 4,306.16

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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.