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Finding the Third Proportional to 4,526 and 9,944

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Solution

The third proportional to 4,526 and 9,944 is: 21,847.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,526 : 9,944 = 9,944 : x
  2. Step 2: Convert to fraction form
    4,526/9,944 = 9,944/x
  3. Step 3: Cross multiply
    4,526x = 9,944 × 9,944
  4. Step 4: Simplify right side
    4,526x = 98,883,136
  5. Step 5: Solve for x
    x = 98,883,136/4,526
  6. Step 6: Final answer
    x = 21,847.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.