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Finding the Third Proportional to 7,932.94 and 18,445.22

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Solution

The third proportional to 7,932.94 and 18,445.22 is: 42,887.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,932.94 : 18,445.22 = 18,445.22 : x
  2. Step 2: Convert to fraction form
    7,932.94/18,445.22 = 18,445.22/x
  3. Step 3: Cross multiply
    7,932.94x = 18,445.22 × 18,445.22
  4. Step 4: Simplify right side
    7,932.94x = 340,226,094.74
  5. Step 5: Solve for x
    x = 340,226,094.74/7,932.94
  6. Step 6: Final answer
    x = 42,887.78

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.