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Finding the Third Proportional to 4,098 and 5,973

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Solution

The third proportional to 4,098 and 5,973 is: 8,705.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098 : 5,973 = 5,973 : x
  2. Step 2: Convert to fraction form
    4,098/5,973 = 5,973/x
  3. Step 3: Cross multiply
    4,098x = 5,973 × 5,973
  4. Step 4: Simplify right side
    4,098x = 35,676,729
  5. Step 5: Solve for x
    x = 35,676,729/4,098
  6. Step 6: Final answer
    x = 8,705.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.