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Finding the Third Proportional to 4,033.13 and 5,419.13

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Solution

The third proportional to 4,033.13 and 5,419.13 is: 7,281.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,033.13 : 5,419.13 = 5,419.13 : x
  2. Step 2: Convert to fraction form
    4,033.13/5,419.13 = 5,419.13/x
  3. Step 3: Cross multiply
    4,033.13x = 5,419.13 × 5,419.13
  4. Step 4: Simplify right side
    4,033.13x = 29,366,915.77
  5. Step 5: Solve for x
    x = 29,366,915.77/4,033.13
  6. Step 6: Final answer
    x = 7,281.43

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.