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Finding the Third Proportional to 1,208.16 and 2,574.56

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Solution

The third proportional to 1,208.16 and 2,574.56 is: 5,486.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.16 : 2,574.56 = 2,574.56 : x
  2. Step 2: Convert to fraction form
    1,208.16/2,574.56 = 2,574.56/x
  3. Step 3: Cross multiply
    1,208.16x = 2,574.56 × 2,574.56
  4. Step 4: Simplify right side
    1,208.16x = 6,628,372.07
  5. Step 5: Solve for x
    x = 6,628,372.07/1,208.16
  6. Step 6: Final answer
    x = 5,486.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.