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Finding the Third Proportional to 8,903 and 14,291

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Solution

The third proportional to 8,903 and 14,291 is: 22,939.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,903 : 14,291 = 14,291 : x
  2. Step 2: Convert to fraction form
    8,903/14,291 = 14,291/x
  3. Step 3: Cross multiply
    8,903x = 14,291 × 14,291
  4. Step 4: Simplify right side
    8,903x = 204,232,681
  5. Step 5: Solve for x
    x = 204,232,681/8,903
  6. Step 6: Final answer
    x = 22,939.76

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.