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Finding the Third Proportional to 8,864.44 and 11,827.90

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Solution

The third proportional to 8,864.44 and 11,827.90 is: 15,782.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,864.44 : 11,827.90 = 11,827.90 : x
  2. Step 2: Convert to fraction form
    8,864.44/11,827.90 = 11,827.90/x
  3. Step 3: Cross multiply
    8,864.44x = 11,827.90 × 11,827.90
  4. Step 4: Simplify right side
    8,864.44x = 139,899,181.45
  5. Step 5: Solve for x
    x = 139,899,181.45/8,864.44
  6. Step 6: Final answer
    x = 15,782.07

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.