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Finding the Third Proportional to 15,930 and 34,586

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Solution

The third proportional to 15,930 and 34,586 is: 75,090.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,930 : 34,586 = 34,586 : x
  2. Step 2: Convert to fraction form
    15,930/34,586 = 34,586/x
  3. Step 3: Cross multiply
    15,930x = 34,586 × 34,586
  4. Step 4: Simplify right side
    15,930x = 1,196,191,396
  5. Step 5: Solve for x
    x = 1,196,191,396/15,930
  6. Step 6: Final answer
    x = 75,090.48

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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.