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Finding the Third Proportional to 16,554 and 24,986

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Solution

The third proportional to 16,554 and 24,986 is: 37,712.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,554 : 24,986 = 24,986 : x
  2. Step 2: Convert to fraction form
    16,554/24,986 = 24,986/x
  3. Step 3: Cross multiply
    16,554x = 24,986 × 24,986
  4. Step 4: Simplify right side
    16,554x = 624,300,196
  5. Step 5: Solve for x
    x = 624,300,196/16,554
  6. Step 6: Final answer
    x = 37,712.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.