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Finding the Third Proportional to 4,616 and 10,078.13

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Solution

The third proportional to 4,616 and 10,078.13 is: 22,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616 : 10,078.13 = 10,078.13 : x
  2. Step 2: Convert to fraction form
    4,616/10,078.13 = 10,078.13/x
  3. Step 3: Cross multiply
    4,616x = 10,078.13 × 10,078.13
  4. Step 4: Simplify right side
    4,616x = 101,568,603.52
  5. Step 5: Solve for x
    x = 101,568,603.52/4,616
  6. Step 6: Final answer
    x = 22,003.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.