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Finding the Third Proportional to 16,544 and 24,820

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Solution

The third proportional to 16,544 and 24,820 is: 37,236.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,544 : 24,820 = 24,820 : x
  2. Step 2: Convert to fraction form
    16,544/24,820 = 24,820/x
  3. Step 3: Cross multiply
    16,544x = 24,820 × 24,820
  4. Step 4: Simplify right side
    16,544x = 616,032,400
  5. Step 5: Solve for x
    x = 616,032,400/16,544
  6. Step 6: Final answer
    x = 37,236.00

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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.