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Finding the Third Proportional to 16,581 and 34,764

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Solution

The third proportional to 16,581 and 34,764 is: 72,886.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,581 : 34,764 = 34,764 : x
  2. Step 2: Convert to fraction form
    16,581/34,764 = 34,764/x
  3. Step 3: Cross multiply
    16,581x = 34,764 × 34,764
  4. Step 4: Simplify right side
    16,581x = 1,208,535,696
  5. Step 5: Solve for x
    x = 1,208,535,696/16,581
  6. Step 6: Final answer
    x = 72,886.78

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.