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Finding the Third Proportional to 8,699 and 13,475.50

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Solution

The third proportional to 8,699 and 13,475.50 is: 20,874.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,699 : 13,475.50 = 13,475.50 : x
  2. Step 2: Convert to fraction form
    8,699/13,475.50 = 13,475.50/x
  3. Step 3: Cross multiply
    8,699x = 13,475.50 × 13,475.50
  4. Step 4: Simplify right side
    8,699x = 181,589,100.25
  5. Step 5: Solve for x
    x = 181,589,100.25/8,699
  6. Step 6: Final answer
    x = 20,874.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.