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Finding the Third Proportional to 965.43 and 2,107.83

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Solution

The third proportional to 965.43 and 2,107.83 is: 4,602.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.43 : 2,107.83 = 2,107.83 : x
  2. Step 2: Convert to fraction form
    965.43/2,107.83 = 2,107.83/x
  3. Step 3: Cross multiply
    965.43x = 2,107.83 × 2,107.83
  4. Step 4: Simplify right side
    965.43x = 4,442,939.40
  5. Step 5: Solve for x
    x = 4,442,939.40/965.43
  6. Step 6: Final answer
    x = 4,602.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.