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Finding the Third Proportional to 33,484 and 50,658

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Solution

The third proportional to 33,484 and 50,658 is: 76,640.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,484 : 50,658 = 50,658 : x
  2. Step 2: Convert to fraction form
    33,484/50,658 = 50,658/x
  3. Step 3: Cross multiply
    33,484x = 50,658 × 50,658
  4. Step 4: Simplify right side
    33,484x = 2,566,232,964
  5. Step 5: Solve for x
    x = 2,566,232,964/33,484
  6. Step 6: Final answer
    x = 76,640.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.