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Finding the Third Proportional to 4,998 and 7,573

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Solution

The third proportional to 4,998 and 7,573 is: 11,474.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,998 : 7,573 = 7,573 : x
  2. Step 2: Convert to fraction form
    4,998/7,573 = 7,573/x
  3. Step 3: Cross multiply
    4,998x = 7,573 × 7,573
  4. Step 4: Simplify right side
    4,998x = 57,350,329
  5. Step 5: Solve for x
    x = 57,350,329/4,998
  6. Step 6: Final answer
    x = 11,474.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.