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Finding the Third Proportional to 16,458 and 34,788

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Solution

The third proportional to 16,458 and 34,788 is: 73,532.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,458 : 34,788 = 34,788 : x
  2. Step 2: Convert to fraction form
    16,458/34,788 = 34,788/x
  3. Step 3: Cross multiply
    16,458x = 34,788 × 34,788
  4. Step 4: Simplify right side
    16,458x = 1,210,204,944
  5. Step 5: Solve for x
    x = 1,210,204,944/16,458
  6. Step 6: Final answer
    x = 73,532.93

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.