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Finding the Third Proportional to 33,784 and 52,440

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Solution

The third proportional to 33,784 and 52,440 is: 81,398.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,784 : 52,440 = 52,440 : x
  2. Step 2: Convert to fraction form
    33,784/52,440 = 52,440/x
  3. Step 3: Cross multiply
    33,784x = 52,440 × 52,440
  4. Step 4: Simplify right side
    33,784x = 2,749,953,600
  5. Step 5: Solve for x
    x = 2,749,953,600/33,784
  6. Step 6: Final answer
    x = 81,398.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.