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Finding the Third Proportional to 10,174 and 15,458

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Solution

The third proportional to 10,174 and 15,458 is: 23,486.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174 : 15,458 = 15,458 : x
  2. Step 2: Convert to fraction form
    10,174/15,458 = 15,458/x
  3. Step 3: Cross multiply
    10,174x = 15,458 × 15,458
  4. Step 4: Simplify right side
    10,174x = 238,949,764
  5. Step 5: Solve for x
    x = 238,949,764/10,174
  6. Step 6: Final answer
    x = 23,486.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.