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Finding the Third Proportional to 16,664 and 25,792

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Solution

The third proportional to 16,664 and 25,792 is: 39,920.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,664 : 25,792 = 25,792 : x
  2. Step 2: Convert to fraction form
    16,664/25,792 = 25,792/x
  3. Step 3: Cross multiply
    16,664x = 25,792 × 25,792
  4. Step 4: Simplify right side
    16,664x = 665,227,264
  5. Step 5: Solve for x
    x = 665,227,264/16,664
  6. Step 6: Final answer
    x = 39,920.02

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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.