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Finding the Third Proportional to 10,617.75 and 16,618.50

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Solution

The third proportional to 10,617.75 and 16,618.50 is: 26,010.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.75 : 16,618.50 = 16,618.50 : x
  2. Step 2: Convert to fraction form
    10,617.75/16,618.50 = 16,618.50/x
  3. Step 3: Cross multiply
    10,617.75x = 16,618.50 × 16,618.50
  4. Step 4: Simplify right side
    10,617.75x = 276,174,542.25
  5. Step 5: Solve for x
    x = 276,174,542.25/10,617.75
  6. Step 6: Final answer
    x = 26,010.65

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.