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Finding the Third Proportional to 7,946 and 17,458

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Solution

The third proportional to 7,946 and 17,458 is: 38,356.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946 : 17,458 = 17,458 : x
  2. Step 2: Convert to fraction form
    7,946/17,458 = 17,458/x
  3. Step 3: Cross multiply
    7,946x = 17,458 × 17,458
  4. Step 4: Simplify right side
    7,946x = 304,781,764
  5. Step 5: Solve for x
    x = 304,781,764/7,946
  6. Step 6: Final answer
    x = 38,356.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.