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Finding the Third Proportional to 23,107.78 and 35,641.27

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Solution

The third proportional to 23,107.78 and 35,641.27 is: 54,972.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,107.78 : 35,641.27 = 35,641.27 : x
  2. Step 2: Convert to fraction form
    23,107.78/35,641.27 = 35,641.27/x
  3. Step 3: Cross multiply
    23,107.78x = 35,641.27 × 35,641.27
  4. Step 4: Simplify right side
    23,107.78x = 1,270,299,815.35
  5. Step 5: Solve for x
    x = 1,270,299,815.35/23,107.78
  6. Step 6: Final answer
    x = 54,972.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.