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Finding the Third Proportional to 961.08 and 1,445.90

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Solution

The third proportional to 961.08 and 1,445.90 is: 2,175.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.08 : 1,445.90 = 1,445.90 : x
  2. Step 2: Convert to fraction form
    961.08/1,445.90 = 1,445.90/x
  3. Step 3: Cross multiply
    961.08x = 1,445.90 × 1,445.90
  4. Step 4: Simplify right side
    961.08x = 2,090,619.47
  5. Step 5: Solve for x
    x = 2,090,619.47/961.08
  6. Step 6: Final answer
    x = 2,175.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.