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Finding the Third Proportional to 9,141.75 and 18,870.75

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Solution

The third proportional to 9,141.75 and 18,870.75 is: 38,953.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.75 : 18,870.75 = 18,870.75 : x
  2. Step 2: Convert to fraction form
    9,141.75/18,870.75 = 18,870.75/x
  3. Step 3: Cross multiply
    9,141.75x = 18,870.75 × 18,870.75
  4. Step 4: Simplify right side
    9,141.75x = 356,105,205.56
  5. Step 5: Solve for x
    x = 356,105,205.56/9,141.75
  6. Step 6: Final answer
    x = 38,953.72

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.