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Finding the Third Proportional to 22,569 and 48,905

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Solution

The third proportional to 22,569 and 48,905 is: 105,972.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,569 : 48,905 = 48,905 : x
  2. Step 2: Convert to fraction form
    22,569/48,905 = 48,905/x
  3. Step 3: Cross multiply
    22,569x = 48,905 × 48,905
  4. Step 4: Simplify right side
    22,569x = 2,391,699,025
  5. Step 5: Solve for x
    x = 2,391,699,025/22,569
  6. Step 6: Final answer
    x = 105,972.75

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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.