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Finding the Third Proportional to 17,622.75 and 39,682.50

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Solution

The third proportional to 17,622.75 and 39,682.50 is: 89,356.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,622.75 : 39,682.50 = 39,682.50 : x
  2. Step 2: Convert to fraction form
    17,622.75/39,682.50 = 39,682.50/x
  3. Step 3: Cross multiply
    17,622.75x = 39,682.50 × 39,682.50
  4. Step 4: Simplify right side
    17,622.75x = 1,574,700,806.25
  5. Step 5: Solve for x
    x = 1,574,700,806.25/17,622.75
  6. Step 6: Final answer
    x = 89,356.13

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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.