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Finding the Third Proportional to 9,274.46 and 20,278.87

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Solution

The third proportional to 9,274.46 and 20,278.87 is: 44,340.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.46 : 20,278.87 = 20,278.87 : x
  2. Step 2: Convert to fraction form
    9,274.46/20,278.87 = 20,278.87/x
  3. Step 3: Cross multiply
    9,274.46x = 20,278.87 × 20,278.87
  4. Step 4: Simplify right side
    9,274.46x = 411,232,652.44
  5. Step 5: Solve for x
    x = 411,232,652.44/9,274.46
  6. Step 6: Final answer
    x = 44,340.33

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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.