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Finding the Third Proportional to 9,513 and 22,228

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Solution

The third proportional to 9,513 and 22,228 is: 51,937.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513 : 22,228 = 22,228 : x
  2. Step 2: Convert to fraction form
    9,513/22,228 = 22,228/x
  3. Step 3: Cross multiply
    9,513x = 22,228 × 22,228
  4. Step 4: Simplify right side
    9,513x = 494,083,984
  5. Step 5: Solve for x
    x = 494,083,984/9,513
  6. Step 6: Final answer
    x = 51,937.77

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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.