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Finding the Third Proportional to 17,664 and 26,533.88

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Solution

The third proportional to 17,664 and 26,533.88 is: 39,857.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,664 : 26,533.88 = 26,533.88 : x
  2. Step 2: Convert to fraction form
    17,664/26,533.88 = 26,533.88/x
  3. Step 3: Cross multiply
    17,664x = 26,533.88 × 26,533.88
  4. Step 4: Simplify right side
    17,664x = 704,046,522.52
  5. Step 5: Solve for x
    x = 704,046,522.52/17,664
  6. Step 6: Final answer
    x = 39,857.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.