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Finding the Third Proportional to 22,492 and 48,871

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Solution

The third proportional to 22,492 and 48,871 is: 106,187.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,492 : 48,871 = 48,871 : x
  2. Step 2: Convert to fraction form
    22,492/48,871 = 48,871/x
  3. Step 3: Cross multiply
    22,492x = 48,871 × 48,871
  4. Step 4: Simplify right side
    22,492x = 2,388,374,641
  5. Step 5: Solve for x
    x = 2,388,374,641/22,492
  6. Step 6: Final answer
    x = 106,187.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.