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Finding the Third Proportional to 16,499 and 34,854

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Solution

The third proportional to 16,499 and 34,854 is: 73,628.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,499 : 34,854 = 34,854 : x
  2. Step 2: Convert to fraction form
    16,499/34,854 = 34,854/x
  3. Step 3: Cross multiply
    16,499x = 34,854 × 34,854
  4. Step 4: Simplify right side
    16,499x = 1,214,801,316
  5. Step 5: Solve for x
    x = 1,214,801,316/16,499
  6. Step 6: Final answer
    x = 73,628.78

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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.