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Finding the Third Proportional to 1,959.19 and 4,053.80

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Solution

The third proportional to 1,959.19 and 4,053.80 is: 8,387.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.19 : 4,053.80 = 4,053.80 : x
  2. Step 2: Convert to fraction form
    1,959.19/4,053.80 = 4,053.80/x
  3. Step 3: Cross multiply
    1,959.19x = 4,053.80 × 4,053.80
  4. Step 4: Simplify right side
    1,959.19x = 16,433,269.10
  5. Step 5: Solve for x
    x = 16,433,269.10/1,959.19
  6. Step 6: Final answer
    x = 8,387.80

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.