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Finding the Third Proportional to 16,226.25 and 34,876.13

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Solution

The third proportional to 16,226.25 and 34,876.13 is: 74,961.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,226.25 : 34,876.13 = 34,876.13 : x
  2. Step 2: Convert to fraction form
    16,226.25/34,876.13 = 34,876.13/x
  3. Step 3: Cross multiply
    16,226.25x = 34,876.13 × 34,876.13
  4. Step 4: Simplify right side
    16,226.25x = 1,216,344,095.02
  5. Step 5: Solve for x
    x = 1,216,344,095.02/16,226.25
  6. Step 6: Final answer
    x = 74,961.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.