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Finding the Third Proportional to 9,524 and 22,255

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Solution

The third proportional to 9,524 and 22,255 is: 52,003.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524 : 22,255 = 22,255 : x
  2. Step 2: Convert to fraction form
    9,524/22,255 = 22,255/x
  3. Step 3: Cross multiply
    9,524x = 22,255 × 22,255
  4. Step 4: Simplify right side
    9,524x = 495,285,025
  5. Step 5: Solve for x
    x = 495,285,025/9,524
  6. Step 6: Final answer
    x = 52,003.89

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.