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Finding the Third Proportional to 5,101.88 and 5,453.44

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Solution

The third proportional to 5,101.88 and 5,453.44 is: 5,829.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.88 : 5,453.44 = 5,453.44 : x
  2. Step 2: Convert to fraction form
    5,101.88/5,453.44 = 5,453.44/x
  3. Step 3: Cross multiply
    5,101.88x = 5,453.44 × 5,453.44
  4. Step 4: Simplify right side
    5,101.88x = 29,739,980.57
  5. Step 5: Solve for x
    x = 29,739,980.57/5,101.88
  6. Step 6: Final answer
    x = 5,829.23

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.