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Finding the Third Proportional to 961.08 and 2,069.53

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Solution

The third proportional to 961.08 and 2,069.53 is: 4,456.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.08 : 2,069.53 = 2,069.53 : x
  2. Step 2: Convert to fraction form
    961.08/2,069.53 = 2,069.53/x
  3. Step 3: Cross multiply
    961.08x = 2,069.53 × 2,069.53
  4. Step 4: Simplify right side
    961.08x = 4,282,971.72
  5. Step 5: Solve for x
    x = 4,282,971.72/961.08
  6. Step 6: Final answer
    x = 4,456.40

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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.