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Finding the Third Proportional to 6,596 and 15,134

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Solution

The third proportional to 6,596 and 15,134 is: 34,723.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596 : 15,134 = 15,134 : x
  2. Step 2: Convert to fraction form
    6,596/15,134 = 15,134/x
  3. Step 3: Cross multiply
    6,596x = 15,134 × 15,134
  4. Step 4: Simplify right side
    6,596x = 229,037,956
  5. Step 5: Solve for x
    x = 229,037,956/6,596
  6. Step 6: Final answer
    x = 34,723.77

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.