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Finding the Third Proportional to 16,948 and 24,764

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Solution

The third proportional to 16,948 and 24,764 is: 36,184.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,948 : 24,764 = 24,764 : x
  2. Step 2: Convert to fraction form
    16,948/24,764 = 24,764/x
  3. Step 3: Cross multiply
    16,948x = 24,764 × 24,764
  4. Step 4: Simplify right side
    16,948x = 613,255,696
  5. Step 5: Solve for x
    x = 613,255,696/16,948
  6. Step 6: Final answer
    x = 36,184.55

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.