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Finding the Third Proportional to 11,422.69 and 13,964.06

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Solution

The third proportional to 11,422.69 and 13,964.06 is: 17,070.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422.69 : 13,964.06 = 13,964.06 : x
  2. Step 2: Convert to fraction form
    11,422.69/13,964.06 = 13,964.06/x
  3. Step 3: Cross multiply
    11,422.69x = 13,964.06 × 13,964.06
  4. Step 4: Simplify right side
    11,422.69x = 194,995,041.50
  5. Step 5: Solve for x
    x = 194,995,041.50/11,422.69
  6. Step 6: Final answer
    x = 17,070.85

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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.