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Finding the Third Proportional to 36,606 and 47,421

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Solution

The third proportional to 36,606 and 47,421 is: 61,431.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,606 : 47,421 = 47,421 : x
  2. Step 2: Convert to fraction form
    36,606/47,421 = 47,421/x
  3. Step 3: Cross multiply
    36,606x = 47,421 × 47,421
  4. Step 4: Simplify right side
    36,606x = 2,248,751,241
  5. Step 5: Solve for x
    x = 2,248,751,241/36,606
  6. Step 6: Final answer
    x = 61,431.22

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.