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Finding the Third Proportional to 6,538 and 15,421

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Solution

The third proportional to 6,538 and 15,421 is: 36,373.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538 : 15,421 = 15,421 : x
  2. Step 2: Convert to fraction form
    6,538/15,421 = 15,421/x
  3. Step 3: Cross multiply
    6,538x = 15,421 × 15,421
  4. Step 4: Simplify right side
    6,538x = 237,807,241
  5. Step 5: Solve for x
    x = 237,807,241/6,538
  6. Step 6: Final answer
    x = 36,373.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.