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Finding the Third Proportional to 9,669.38 and 20,967.19

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Solution

The third proportional to 9,669.38 and 20,967.19 is: 45,465.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669.38 : 20,967.19 = 20,967.19 : x
  2. Step 2: Convert to fraction form
    9,669.38/20,967.19 = 20,967.19/x
  3. Step 3: Cross multiply
    9,669.38x = 20,967.19 × 20,967.19
  4. Step 4: Simplify right side
    9,669.38x = 439,622,951.66
  5. Step 5: Solve for x
    x = 439,622,951.66/9,669.38
  6. Step 6: Final answer
    x = 45,465.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.