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Finding the Third Proportional to 1,959.29 and 4,275.60

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Solution

The third proportional to 1,959.29 and 4,275.60 is: 9,330.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.29 : 4,275.60 = 4,275.60 : x
  2. Step 2: Convert to fraction form
    1,959.29/4,275.60 = 4,275.60/x
  3. Step 3: Cross multiply
    1,959.29x = 4,275.60 × 4,275.60
  4. Step 4: Simplify right side
    1,959.29x = 18,280,735.32
  5. Step 5: Solve for x
    x = 18,280,735.32/1,959.29
  6. Step 6: Final answer
    x = 9,330.27

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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.