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Finding the Third Proportional to 4,101 and 8,784.75

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Solution

The third proportional to 4,101 and 8,784.75 is: 18,817.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101 : 8,784.75 = 8,784.75 : x
  2. Step 2: Convert to fraction form
    4,101/8,784.75 = 8,784.75/x
  3. Step 3: Cross multiply
    4,101x = 8,784.75 × 8,784.75
  4. Step 4: Simplify right side
    4,101x = 77,171,832.56
  5. Step 5: Solve for x
    x = 77,171,832.56/4,101
  6. Step 6: Final answer
    x = 18,817.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.