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Finding the Third Proportional to 2,998 and 5,564

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Solution

The third proportional to 2,998 and 5,564 is: 10,326.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998 : 5,564 = 5,564 : x
  2. Step 2: Convert to fraction form
    2,998/5,564 = 5,564/x
  3. Step 3: Cross multiply
    2,998x = 5,564 × 5,564
  4. Step 4: Simplify right side
    2,998x = 30,958,096
  5. Step 5: Solve for x
    x = 30,958,096/2,998
  6. Step 6: Final answer
    x = 10,326.25

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.