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Finding the Third Proportional to 4,893.19 and 10,393.88

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Solution

The third proportional to 4,893.19 and 10,393.88 is: 22,078.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,893.19 : 10,393.88 = 10,393.88 : x
  2. Step 2: Convert to fraction form
    4,893.19/10,393.88 = 10,393.88/x
  3. Step 3: Cross multiply
    4,893.19x = 10,393.88 × 10,393.88
  4. Step 4: Simplify right side
    4,893.19x = 108,032,637.52
  5. Step 5: Solve for x
    x = 108,032,637.52/4,893.19
  6. Step 6: Final answer
    x = 22,078.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.