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Finding the Third Proportional to 9,664 and 13,552

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Solution

The third proportional to 9,664 and 13,552 is: 19,004.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664 : 13,552 = 13,552 : x
  2. Step 2: Convert to fraction form
    9,664/13,552 = 13,552/x
  3. Step 3: Cross multiply
    9,664x = 13,552 × 13,552
  4. Step 4: Simplify right side
    9,664x = 183,656,704
  5. Step 5: Solve for x
    x = 183,656,704/9,664
  6. Step 6: Final answer
    x = 19,004.21

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.