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Finding the Third Proportional to 4,071.94 and 8,923.22

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Solution

The third proportional to 4,071.94 and 8,923.22 is: 19,554.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071.94 : 8,923.22 = 8,923.22 : x
  2. Step 2: Convert to fraction form
    4,071.94/8,923.22 = 8,923.22/x
  3. Step 3: Cross multiply
    4,071.94x = 8,923.22 × 8,923.22
  4. Step 4: Simplify right side
    4,071.94x = 79,623,832.86
  5. Step 5: Solve for x
    x = 79,623,832.86/4,071.94
  6. Step 6: Final answer
    x = 19,554.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.