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Finding the Third Proportional to 2,476.83 and 5,429.53

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Solution

The third proportional to 2,476.83 and 5,429.53 is: 11,902.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.83 : 5,429.53 = 5,429.53 : x
  2. Step 2: Convert to fraction form
    2,476.83/5,429.53 = 5,429.53/x
  3. Step 3: Cross multiply
    2,476.83x = 5,429.53 × 5,429.53
  4. Step 4: Simplify right side
    2,476.83x = 29,479,809.59
  5. Step 5: Solve for x
    x = 29,479,809.59/2,476.83
  6. Step 6: Final answer
    x = 11,902.24

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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.