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Finding the Third Proportional to 14,892 and 26,449.50

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Solution

The third proportional to 14,892 and 26,449.50 is: 46,976.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,892 : 26,449.50 = 26,449.50 : x
  2. Step 2: Convert to fraction form
    14,892/26,449.50 = 26,449.50/x
  3. Step 3: Cross multiply
    14,892x = 26,449.50 × 26,449.50
  4. Step 4: Simplify right side
    14,892x = 699,576,050.25
  5. Step 5: Solve for x
    x = 699,576,050.25/14,892
  6. Step 6: Final answer
    x = 46,976.64

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.