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Finding the Third Proportional to 2,480.19 and 3,368.36

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Solution

The third proportional to 2,480.19 and 3,368.36 is: 4,574.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.19 : 3,368.36 = 3,368.36 : x
  2. Step 2: Convert to fraction form
    2,480.19/3,368.36 = 3,368.36/x
  3. Step 3: Cross multiply
    2,480.19x = 3,368.36 × 3,368.36
  4. Step 4: Simplify right side
    2,480.19x = 11,345,844.88
  5. Step 5: Solve for x
    x = 11,345,844.88/2,480.19
  6. Step 6: Final answer
    x = 4,574.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.