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Finding the Third Proportional to 22,368 and 48,944

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Solution

The third proportional to 22,368 and 48,944 is: 107,095.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,368 : 48,944 = 48,944 : x
  2. Step 2: Convert to fraction form
    22,368/48,944 = 48,944/x
  3. Step 3: Cross multiply
    22,368x = 48,944 × 48,944
  4. Step 4: Simplify right side
    22,368x = 2,395,515,136
  5. Step 5: Solve for x
    x = 2,395,515,136/22,368
  6. Step 6: Final answer
    x = 107,095.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.