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Finding the Third Proportional to 10,252 and 22,118

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Solution

The third proportional to 10,252 and 22,118 is: 47,718.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252 : 22,118 = 22,118 : x
  2. Step 2: Convert to fraction form
    10,252/22,118 = 22,118/x
  3. Step 3: Cross multiply
    10,252x = 22,118 × 22,118
  4. Step 4: Simplify right side
    10,252x = 489,205,924
  5. Step 5: Solve for x
    x = 489,205,924/10,252
  6. Step 6: Final answer
    x = 47,718.10

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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.