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Finding the Third Proportional to 17,806.50 and 38,704.50

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Solution

The third proportional to 17,806.50 and 38,704.50 is: 84,128.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,806.50 : 38,704.50 = 38,704.50 : x
  2. Step 2: Convert to fraction form
    17,806.50/38,704.50 = 38,704.50/x
  3. Step 3: Cross multiply
    17,806.50x = 38,704.50 × 38,704.50
  4. Step 4: Simplify right side
    17,806.50x = 1,498,038,320.25
  5. Step 5: Solve for x
    x = 1,498,038,320.25/17,806.50
  6. Step 6: Final answer
    x = 84,128.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.