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Finding the Third Proportional to 11,463.75 and 23,641.31

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Solution

The third proportional to 11,463.75 and 23,641.31 is: 48,754.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.75 : 23,641.31 = 23,641.31 : x
  2. Step 2: Convert to fraction form
    11,463.75/23,641.31 = 23,641.31/x
  3. Step 3: Cross multiply
    11,463.75x = 23,641.31 × 23,641.31
  4. Step 4: Simplify right side
    11,463.75x = 558,911,656.72
  5. Step 5: Solve for x
    x = 558,911,656.72/11,463.75
  6. Step 6: Final answer
    x = 48,754.70

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.