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Finding the Third Proportional to 1,111.64 and 2,393.72

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Solution

The third proportional to 1,111.64 and 2,393.72 is: 5,154.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.64 : 2,393.72 = 2,393.72 : x
  2. Step 2: Convert to fraction form
    1,111.64/2,393.72 = 2,393.72/x
  3. Step 3: Cross multiply
    1,111.64x = 2,393.72 × 2,393.72
  4. Step 4: Simplify right side
    1,111.64x = 5,729,889.45
  5. Step 5: Solve for x
    x = 5,729,889.45/1,111.64
  6. Step 6: Final answer
    x = 5,154.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.