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Finding the Third Proportional to 8,817 and 12,933.50

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Solution

The third proportional to 8,817 and 12,933.50 is: 18,971.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,817 : 12,933.50 = 12,933.50 : x
  2. Step 2: Convert to fraction form
    8,817/12,933.50 = 12,933.50/x
  3. Step 3: Cross multiply
    8,817x = 12,933.50 × 12,933.50
  4. Step 4: Simplify right side
    8,817x = 167,275,422.25
  5. Step 5: Solve for x
    x = 167,275,422.25/8,817
  6. Step 6: Final answer
    x = 18,971.92

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.