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Finding the Third Proportional to 30,221 and 49,944

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Solution

The third proportional to 30,221 and 49,944 is: 82,538.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,221 : 49,944 = 49,944 : x
  2. Step 2: Convert to fraction form
    30,221/49,944 = 49,944/x
  3. Step 3: Cross multiply
    30,221x = 49,944 × 49,944
  4. Step 4: Simplify right side
    30,221x = 2,494,403,136
  5. Step 5: Solve for x
    x = 2,494,403,136/30,221
  6. Step 6: Final answer
    x = 82,538.74

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.