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Finding the Third Proportional to 8,664.75 and 20,440.13

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Solution

The third proportional to 8,664.75 and 20,440.13 is: 48,218.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,664.75 : 20,440.13 = 20,440.13 : x
  2. Step 2: Convert to fraction form
    8,664.75/20,440.13 = 20,440.13/x
  3. Step 3: Cross multiply
    8,664.75x = 20,440.13 × 20,440.13
  4. Step 4: Simplify right side
    8,664.75x = 417,798,710.02
  5. Step 5: Solve for x
    x = 417,798,710.02/8,664.75
  6. Step 6: Final answer
    x = 48,218.21

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.