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Finding the Third Proportional to 10,252 and 22,077

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Solution

The third proportional to 10,252 and 22,077 is: 47,541.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252 : 22,077 = 22,077 : x
  2. Step 2: Convert to fraction form
    10,252/22,077 = 22,077/x
  3. Step 3: Cross multiply
    10,252x = 22,077 × 22,077
  4. Step 4: Simplify right side
    10,252x = 487,393,929
  5. Step 5: Solve for x
    x = 487,393,929/10,252
  6. Step 6: Final answer
    x = 47,541.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.