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Finding the Third Proportional to 4,051.13 and 8,793.84

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Solution

The third proportional to 4,051.13 and 8,793.84 is: 19,088.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051.13 : 8,793.84 = 8,793.84 : x
  2. Step 2: Convert to fraction form
    4,051.13/8,793.84 = 8,793.84/x
  3. Step 3: Cross multiply
    4,051.13x = 8,793.84 × 8,793.84
  4. Step 4: Simplify right side
    4,051.13x = 77,331,687.90
  5. Step 5: Solve for x
    x = 77,331,687.90/4,051.13
  6. Step 6: Final answer
    x = 19,088.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.