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Finding the Third Proportional to 3,970.69 and 9,406.13

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Solution

The third proportional to 3,970.69 and 9,406.13 is: 22,282.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.69 : 9,406.13 = 9,406.13 : x
  2. Step 2: Convert to fraction form
    3,970.69/9,406.13 = 9,406.13/x
  3. Step 3: Cross multiply
    3,970.69x = 9,406.13 × 9,406.13
  4. Step 4: Simplify right side
    3,970.69x = 88,475,187.52
  5. Step 5: Solve for x
    x = 88,475,187.52/3,970.69
  6. Step 6: Final answer
    x = 22,282.08

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.