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Finding the Third Proportional to 459.13 and 963.13

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Solution

The third proportional to 459.13 and 963.13 is: 2,020.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.13 : 963.13 = 963.13 : x
  2. Step 2: Convert to fraction form
    459.13/963.13 = 963.13/x
  3. Step 3: Cross multiply
    459.13x = 963.13 × 963.13
  4. Step 4: Simplify right side
    459.13x = 927,609.77
  5. Step 5: Solve for x
    x = 927,609.77/459.13
  6. Step 6: Final answer
    x = 2,020.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.