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Finding the Third Proportional to 9,267.75 and 19,995.19

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Solution

The third proportional to 9,267.75 and 19,995.19 is: 43,139.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267.75 : 19,995.19 = 19,995.19 : x
  2. Step 2: Convert to fraction form
    9,267.75/19,995.19 = 19,995.19/x
  3. Step 3: Cross multiply
    9,267.75x = 19,995.19 × 19,995.19
  4. Step 4: Simplify right side
    9,267.75x = 399,807,523.16
  5. Step 5: Solve for x
    x = 399,807,523.16/9,267.75
  6. Step 6: Final answer
    x = 43,139.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.