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Finding the Third Proportional to 5,731 and 7,498

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Solution

The third proportional to 5,731 and 7,498 is: 9,809.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731 : 7,498 = 7,498 : x
  2. Step 2: Convert to fraction form
    5,731/7,498 = 7,498/x
  3. Step 3: Cross multiply
    5,731x = 7,498 × 7,498
  4. Step 4: Simplify right side
    5,731x = 56,220,004
  5. Step 5: Solve for x
    x = 56,220,004/5,731
  6. Step 6: Final answer
    x = 9,809.81

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.