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Finding the Third Proportional to 1,959.50 and 4,192.38

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Solution

The third proportional to 1,959.50 and 4,192.38 is: 8,969.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.50 : 4,192.38 = 4,192.38 : x
  2. Step 2: Convert to fraction form
    1,959.50/4,192.38 = 4,192.38/x
  3. Step 3: Cross multiply
    1,959.50x = 4,192.38 × 4,192.38
  4. Step 4: Simplify right side
    1,959.50x = 17,576,008.14
  5. Step 5: Solve for x
    x = 17,576,008.14/1,959.50
  6. Step 6: Final answer
    x = 8,969.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.