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Finding the Third Proportional to 4,046.06 and 8,827.66

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Solution

The third proportional to 4,046.06 and 8,827.66 is: 19,260.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046.06 : 8,827.66 = 8,827.66 : x
  2. Step 2: Convert to fraction form
    4,046.06/8,827.66 = 8,827.66/x
  3. Step 3: Cross multiply
    4,046.06x = 8,827.66 × 8,827.66
  4. Step 4: Simplify right side
    4,046.06x = 77,927,514.87
  5. Step 5: Solve for x
    x = 77,927,514.87/4,046.06
  6. Step 6: Final answer
    x = 19,260.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.