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Finding the Third Proportional to 4,053.16 and 5,137.17

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Solution

The third proportional to 4,053.16 and 5,137.17 is: 6,511.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,053.16 : 5,137.17 = 5,137.17 : x
  2. Step 2: Convert to fraction form
    4,053.16/5,137.17 = 5,137.17/x
  3. Step 3: Cross multiply
    4,053.16x = 5,137.17 × 5,137.17
  4. Step 4: Simplify right side
    4,053.16x = 26,390,534.87
  5. Step 5: Solve for x
    x = 26,390,534.87/4,053.16
  6. Step 6: Final answer
    x = 6,511.09

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.