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Finding the Third Proportional to 961.08 and 2,095.16

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Solution

The third proportional to 961.08 and 2,095.16 is: 4,567.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.08 : 2,095.16 = 2,095.16 : x
  2. Step 2: Convert to fraction form
    961.08/2,095.16 = 2,095.16/x
  3. Step 3: Cross multiply
    961.08x = 2,095.16 × 2,095.16
  4. Step 4: Simplify right side
    961.08x = 4,389,708.36
  5. Step 5: Solve for x
    x = 4,389,708.36/961.08
  6. Step 6: Final answer
    x = 4,567.46

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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.