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Finding the Third Proportional to 22,415 and 48,774

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Solution

The third proportional to 22,415 and 48,774 is: 106,129.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,415 : 48,774 = 48,774 : x
  2. Step 2: Convert to fraction form
    22,415/48,774 = 48,774/x
  3. Step 3: Cross multiply
    22,415x = 48,774 × 48,774
  4. Step 4: Simplify right side
    22,415x = 2,378,903,076
  5. Step 5: Solve for x
    x = 2,378,903,076/22,415
  6. Step 6: Final answer
    x = 106,129.96

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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.