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Finding the Third Proportional to 19,606 and 29,986

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Solution

The third proportional to 19,606 and 29,986 is: 45,861.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,606 : 29,986 = 29,986 : x
  2. Step 2: Convert to fraction form
    19,606/29,986 = 29,986/x
  3. Step 3: Cross multiply
    19,606x = 29,986 × 29,986
  4. Step 4: Simplify right side
    19,606x = 899,160,196
  5. Step 5: Solve for x
    x = 899,160,196/19,606
  6. Step 6: Final answer
    x = 45,861.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.