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Finding the Third Proportional to 4,136 and 9,998

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Solution

The third proportional to 4,136 and 9,998 is: 24,168.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136 : 9,998 = 9,998 : x
  2. Step 2: Convert to fraction form
    4,136/9,998 = 9,998/x
  3. Step 3: Cross multiply
    4,136x = 9,998 × 9,998
  4. Step 4: Simplify right side
    4,136x = 99,960,004
  5. Step 5: Solve for x
    x = 99,960,004/4,136
  6. Step 6: Final answer
    x = 24,168.28

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.