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Finding the Third Proportional to 33,551 and 45,402

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Solution

The third proportional to 33,551 and 45,402 is: 61,439.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,551 : 45,402 = 45,402 : x
  2. Step 2: Convert to fraction form
    33,551/45,402 = 45,402/x
  3. Step 3: Cross multiply
    33,551x = 45,402 × 45,402
  4. Step 4: Simplify right side
    33,551x = 2,061,341,604
  5. Step 5: Solve for x
    x = 2,061,341,604/33,551
  6. Step 6: Final answer
    x = 61,439.05

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.