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Finding the Third Proportional to 10,305 and 22,257

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Solution

The third proportional to 10,305 and 22,257 is: 48,071.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305 : 22,257 = 22,257 : x
  2. Step 2: Convert to fraction form
    10,305/22,257 = 22,257/x
  3. Step 3: Cross multiply
    10,305x = 22,257 × 22,257
  4. Step 4: Simplify right side
    10,305x = 495,374,049
  5. Step 5: Solve for x
    x = 495,374,049/10,305
  6. Step 6: Final answer
    x = 48,071.23

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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.