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Finding the Third Proportional to 22,417 and 48,778

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Solution

The third proportional to 22,417 and 48,778 is: 106,137.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,417 : 48,778 = 48,778 : x
  2. Step 2: Convert to fraction form
    22,417/48,778 = 48,778/x
  3. Step 3: Cross multiply
    22,417x = 48,778 × 48,778
  4. Step 4: Simplify right side
    22,417x = 2,379,293,284
  5. Step 5: Solve for x
    x = 2,379,293,284/22,417
  6. Step 6: Final answer
    x = 106,137.90

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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.