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Finding the Third Proportional to 15,766 and 34,195

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Solution

The third proportional to 15,766 and 34,195 is: 74,165.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,766 : 34,195 = 34,195 : x
  2. Step 2: Convert to fraction form
    15,766/34,195 = 34,195/x
  3. Step 3: Cross multiply
    15,766x = 34,195 × 34,195
  4. Step 4: Simplify right side
    15,766x = 1,169,298,025
  5. Step 5: Solve for x
    x = 1,169,298,025/15,766
  6. Step 6: Final answer
    x = 74,165.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.