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Finding the Third Proportional to 9,566 and 13,664

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Solution

The third proportional to 9,566 and 13,664 is: 19,517.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566 : 13,664 = 13,664 : x
  2. Step 2: Convert to fraction form
    9,566/13,664 = 13,664/x
  3. Step 3: Cross multiply
    9,566x = 13,664 × 13,664
  4. Step 4: Simplify right side
    9,566x = 186,704,896
  5. Step 5: Solve for x
    x = 186,704,896/9,566
  6. Step 6: Final answer
    x = 19,517.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.