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Finding the Third Proportional to 2,386.97 and 3,511.69

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Solution

The third proportional to 2,386.97 and 3,511.69 is: 5,166.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.97 : 3,511.69 = 3,511.69 : x
  2. Step 2: Convert to fraction form
    2,386.97/3,511.69 = 3,511.69/x
  3. Step 3: Cross multiply
    2,386.97x = 3,511.69 × 3,511.69
  4. Step 4: Simplify right side
    2,386.97x = 12,331,949.10
  5. Step 5: Solve for x
    x = 12,331,949.10/2,386.97
  6. Step 6: Final answer
    x = 5,166.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.