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Finding the Third Proportional to 10,276 and 22,447

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Solution

The third proportional to 10,276 and 22,447 is: 49,033.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,276 : 22,447 = 22,447 : x
  2. Step 2: Convert to fraction form
    10,276/22,447 = 22,447/x
  3. Step 3: Cross multiply
    10,276x = 22,447 × 22,447
  4. Step 4: Simplify right side
    10,276x = 503,867,809
  5. Step 5: Solve for x
    x = 503,867,809/10,276
  6. Step 6: Final answer
    x = 49,033.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.