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Finding the Third Proportional to 7,643.11 and 16,296.19

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Solution

The third proportional to 7,643.11 and 16,296.19 is: 34,745.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.11 : 16,296.19 = 16,296.19 : x
  2. Step 2: Convert to fraction form
    7,643.11/16,296.19 = 16,296.19/x
  3. Step 3: Cross multiply
    7,643.11x = 16,296.19 × 16,296.19
  4. Step 4: Simplify right side
    7,643.11x = 265,565,727.04
  5. Step 5: Solve for x
    x = 265,565,727.04/7,643.11
  6. Step 6: Final answer
    x = 34,745.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.