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Finding the Third Proportional to 2,731.50 and 4,338

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Solution

The third proportional to 2,731.50 and 4,338 is: 6,889.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.50 : 4,338 = 4,338 : x
  2. Step 2: Convert to fraction form
    2,731.50/4,338 = 4,338/x
  3. Step 3: Cross multiply
    2,731.50x = 4,338 × 4,338
  4. Step 4: Simplify right side
    2,731.50x = 18,818,244
  5. Step 5: Solve for x
    x = 18,818,244/2,731.50
  6. Step 6: Final answer
    x = 6,889.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.