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Finding the Third Proportional to 15,935 and 34,634

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Solution

The third proportional to 15,935 and 34,634 is: 75,275.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,935 : 34,634 = 34,634 : x
  2. Step 2: Convert to fraction form
    15,935/34,634 = 34,634/x
  3. Step 3: Cross multiply
    15,935x = 34,634 × 34,634
  4. Step 4: Simplify right side
    15,935x = 1,199,513,956
  5. Step 5: Solve for x
    x = 1,199,513,956/15,935
  6. Step 6: Final answer
    x = 75,275.43

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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.