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Finding the Third Proportional to 16,664 and 25,788

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Solution

The third proportional to 16,664 and 25,788 is: 39,907.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,664 : 25,788 = 25,788 : x
  2. Step 2: Convert to fraction form
    16,664/25,788 = 25,788/x
  3. Step 3: Cross multiply
    16,664x = 25,788 × 25,788
  4. Step 4: Simplify right side
    16,664x = 665,020,944
  5. Step 5: Solve for x
    x = 665,020,944/16,664
  6. Step 6: Final answer
    x = 39,907.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.