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Finding the Third Proportional to 2,274.44 and 4,971.88

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Solution

The third proportional to 2,274.44 and 4,971.88 is: 10,868.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.44 : 4,971.88 = 4,971.88 : x
  2. Step 2: Convert to fraction form
    2,274.44/4,971.88 = 4,971.88/x
  3. Step 3: Cross multiply
    2,274.44x = 4,971.88 × 4,971.88
  4. Step 4: Simplify right side
    2,274.44x = 24,719,541.02
  5. Step 5: Solve for x
    x = 24,719,541.02/2,274.44
  6. Step 6: Final answer
    x = 10,868.42

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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.