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Finding the Third Proportional to 1,368.28 and 3,001.36

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Solution

The third proportional to 1,368.28 and 3,001.36 is: 6,583.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.28 : 3,001.36 = 3,001.36 : x
  2. Step 2: Convert to fraction form
    1,368.28/3,001.36 = 3,001.36/x
  3. Step 3: Cross multiply
    1,368.28x = 3,001.36 × 3,001.36
  4. Step 4: Simplify right side
    1,368.28x = 9,008,158.10
  5. Step 5: Solve for x
    x = 9,008,158.10/1,368.28
  6. Step 6: Final answer
    x = 6,583.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.