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Finding the Third Proportional to 17,808 and 38,470.50

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Solution

The third proportional to 17,808 and 38,470.50 is: 83,107.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,808 : 38,470.50 = 38,470.50 : x
  2. Step 2: Convert to fraction form
    17,808/38,470.50 = 38,470.50/x
  3. Step 3: Cross multiply
    17,808x = 38,470.50 × 38,470.50
  4. Step 4: Simplify right side
    17,808x = 1,479,979,370.25
  5. Step 5: Solve for x
    x = 1,479,979,370.25/17,808
  6. Step 6: Final answer
    x = 83,107.56

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