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Finding the Third Proportional to 10,415 and 22,493

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Solution

The third proportional to 10,415 and 22,493 is: 48,577.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415 : 22,493 = 22,493 : x
  2. Step 2: Convert to fraction form
    10,415/22,493 = 22,493/x
  3. Step 3: Cross multiply
    10,415x = 22,493 × 22,493
  4. Step 4: Simplify right side
    10,415x = 505,935,049
  5. Step 5: Solve for x
    x = 505,935,049/10,415
  6. Step 6: Final answer
    x = 48,577.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.