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Finding the Third Proportional to 25,146.75 and 46,727.25

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Solution

The third proportional to 25,146.75 and 46,727.25 is: 86,827.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,146.75 : 46,727.25 = 46,727.25 : x
  2. Step 2: Convert to fraction form
    25,146.75/46,727.25 = 46,727.25/x
  3. Step 3: Cross multiply
    25,146.75x = 46,727.25 × 46,727.25
  4. Step 4: Simplify right side
    25,146.75x = 2,183,435,892.56
  5. Step 5: Solve for x
    x = 2,183,435,892.56/25,146.75
  6. Step 6: Final answer
    x = 86,827.76

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.