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Finding the Third Proportional to 22,058 and 48,196

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Solution

The third proportional to 22,058 and 48,196 is: 105,306.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,058 : 48,196 = 48,196 : x
  2. Step 2: Convert to fraction form
    22,058/48,196 = 48,196/x
  3. Step 3: Cross multiply
    22,058x = 48,196 × 48,196
  4. Step 4: Simplify right side
    22,058x = 2,322,854,416
  5. Step 5: Solve for x
    x = 2,322,854,416/22,058
  6. Step 6: Final answer
    x = 105,306.66

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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.