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Finding the Third Proportional to 10,107.75 and 21,601.31

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Solution

The third proportional to 10,107.75 and 21,601.31 is: 46,164.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107.75 : 21,601.31 = 21,601.31 : x
  2. Step 2: Convert to fraction form
    10,107.75/21,601.31 = 21,601.31/x
  3. Step 3: Cross multiply
    10,107.75x = 21,601.31 × 21,601.31
  4. Step 4: Simplify right side
    10,107.75x = 466,616,701.72
  5. Step 5: Solve for x
    x = 466,616,701.72/10,107.75
  6. Step 6: Final answer
    x = 46,164.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.