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Finding the Third Proportional to 48,891.50 and 104,931

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Solution

The third proportional to 48,891.50 and 104,931 is: 225,203.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,891.50 : 104,931 = 104,931 : x
  2. Step 2: Convert to fraction form
    48,891.50/104,931 = 104,931/x
  3. Step 3: Cross multiply
    48,891.50x = 104,931 × 104,931
  4. Step 4: Simplify right side
    48,891.50x = 11,010,514,761
  5. Step 5: Solve for x
    x = 11,010,514,761/48,891.50
  6. Step 6: Final answer
    x = 225,203.05

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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.