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Finding the Third Proportional to 9,119.25 and 18,870.38

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Solution

The third proportional to 9,119.25 and 18,870.38 is: 39,048.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119.25 : 18,870.38 = 18,870.38 : x
  2. Step 2: Convert to fraction form
    9,119.25/18,870.38 = 18,870.38/x
  3. Step 3: Cross multiply
    9,119.25x = 18,870.38 × 18,870.38
  4. Step 4: Simplify right side
    9,119.25x = 356,091,052.64
  5. Step 5: Solve for x
    x = 356,091,052.64/9,119.25
  6. Step 6: Final answer
    x = 39,048.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.