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Finding the Third Proportional to 1,958.63 and 4,213.13

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Solution

The third proportional to 1,958.63 and 4,213.13 is: 9,062.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.63 : 4,213.13 = 4,213.13 : x
  2. Step 2: Convert to fraction form
    1,958.63/4,213.13 = 4,213.13/x
  3. Step 3: Cross multiply
    1,958.63x = 4,213.13 × 4,213.13
  4. Step 4: Simplify right side
    1,958.63x = 17,750,422.27
  5. Step 5: Solve for x
    x = 17,750,422.27/1,958.63
  6. Step 6: Final answer
    x = 9,062.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.