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Finding the Third Proportional to 18,681.75 and 39,093.75

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Solution

The third proportional to 18,681.75 and 39,093.75 is: 81,808.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,681.75 : 39,093.75 = 39,093.75 : x
  2. Step 2: Convert to fraction form
    18,681.75/39,093.75 = 39,093.75/x
  3. Step 3: Cross multiply
    18,681.75x = 39,093.75 × 39,093.75
  4. Step 4: Simplify right side
    18,681.75x = 1,528,321,289.06
  5. Step 5: Solve for x
    x = 1,528,321,289.06/18,681.75
  6. Step 6: Final answer
    x = 81,808.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.