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Finding the Third Proportional to 4,094.30 and 9,008.72

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Solution

The third proportional to 4,094.30 and 9,008.72 is: 19,821.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.30 : 9,008.72 = 9,008.72 : x
  2. Step 2: Convert to fraction form
    4,094.30/9,008.72 = 9,008.72/x
  3. Step 3: Cross multiply
    4,094.30x = 9,008.72 × 9,008.72
  4. Step 4: Simplify right side
    4,094.30x = 81,157,013.52
  5. Step 5: Solve for x
    x = 81,157,013.52/4,094.30
  6. Step 6: Final answer
    x = 19,821.97

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.