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Finding the Third Proportional to 9,287.25 and 19,869.75

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Solution

The third proportional to 9,287.25 and 19,869.75 is: 42,510.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.25 : 19,869.75 = 19,869.75 : x
  2. Step 2: Convert to fraction form
    9,287.25/19,869.75 = 19,869.75/x
  3. Step 3: Cross multiply
    9,287.25x = 19,869.75 × 19,869.75
  4. Step 4: Simplify right side
    9,287.25x = 394,806,965.06
  5. Step 5: Solve for x
    x = 394,806,965.06/9,287.25
  6. Step 6: Final answer
    x = 42,510.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.