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Finding the Third Proportional to 15,731 and 34,486

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Solution

The third proportional to 15,731 and 34,486 is: 75,601.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,731 : 34,486 = 34,486 : x
  2. Step 2: Convert to fraction form
    15,731/34,486 = 34,486/x
  3. Step 3: Cross multiply
    15,731x = 34,486 × 34,486
  4. Step 4: Simplify right side
    15,731x = 1,189,284,196
  5. Step 5: Solve for x
    x = 1,189,284,196/15,731
  6. Step 6: Final answer
    x = 75,601.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.