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Finding the Third Proportional to 36,353 and 49,102

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Solution

The third proportional to 36,353 and 49,102 is: 66,322.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,353 : 49,102 = 49,102 : x
  2. Step 2: Convert to fraction form
    36,353/49,102 = 49,102/x
  3. Step 3: Cross multiply
    36,353x = 49,102 × 49,102
  4. Step 4: Simplify right side
    36,353x = 2,411,006,404
  5. Step 5: Solve for x
    x = 2,411,006,404/36,353
  6. Step 6: Final answer
    x = 66,322.08

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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.