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Finding the Third Proportional to 36,122 and 49,209

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Solution

The third proportional to 36,122 and 49,209 is: 67,037.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,122 : 49,209 = 49,209 : x
  2. Step 2: Convert to fraction form
    36,122/49,209 = 49,209/x
  3. Step 3: Cross multiply
    36,122x = 49,209 × 49,209
  4. Step 4: Simplify right side
    36,122x = 2,421,525,681
  5. Step 5: Solve for x
    x = 2,421,525,681/36,122
  6. Step 6: Final answer
    x = 67,037.42

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.