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Finding the Third Proportional to 8,065.50 and 17,962.50

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Solution

The third proportional to 8,065.50 and 17,962.50 is: 40,003.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,065.50 : 17,962.50 = 17,962.50 : x
  2. Step 2: Convert to fraction form
    8,065.50/17,962.50 = 17,962.50/x
  3. Step 3: Cross multiply
    8,065.50x = 17,962.50 × 17,962.50
  4. Step 4: Simplify right side
    8,065.50x = 322,651,406.25
  5. Step 5: Solve for x
    x = 322,651,406.25/8,065.50
  6. Step 6: Final answer
    x = 40,003.89

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.