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Finding the Third Proportional to 15,458 and 23,134

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Solution

The third proportional to 15,458 and 23,134 is: 34,621.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,458 : 23,134 = 23,134 : x
  2. Step 2: Convert to fraction form
    15,458/23,134 = 23,134/x
  3. Step 3: Cross multiply
    15,458x = 23,134 × 23,134
  4. Step 4: Simplify right side
    15,458x = 535,181,956
  5. Step 5: Solve for x
    x = 535,181,956/15,458
  6. Step 6: Final answer
    x = 34,621.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.