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Finding the Third Proportional to 33,209 and 49,342

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Solution

The third proportional to 33,209 and 49,342 is: 73,312.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,209 : 49,342 = 49,342 : x
  2. Step 2: Convert to fraction form
    33,209/49,342 = 49,342/x
  3. Step 3: Cross multiply
    33,209x = 49,342 × 49,342
  4. Step 4: Simplify right side
    33,209x = 2,434,632,964
  5. Step 5: Solve for x
    x = 2,434,632,964/33,209
  6. Step 6: Final answer
    x = 73,312.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.