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Finding the Third Proportional to 5,137.17 and 5,308.03

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Solution

The third proportional to 5,137.17 and 5,308.03 is: 5,484.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.17 : 5,308.03 = 5,308.03 : x
  2. Step 2: Convert to fraction form
    5,137.17/5,308.03 = 5,308.03/x
  3. Step 3: Cross multiply
    5,137.17x = 5,308.03 × 5,308.03
  4. Step 4: Simplify right side
    5,137.17x = 28,175,195.75
  5. Step 5: Solve for x
    x = 28,175,195.75/5,137.17
  6. Step 6: Final answer
    x = 5,484.57

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.