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Finding the Third Proportional to 14,188 and 21,291

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Solution

The third proportional to 14,188 and 21,291 is: 31,950.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,188 : 21,291 = 21,291 : x
  2. Step 2: Convert to fraction form
    14,188/21,291 = 21,291/x
  3. Step 3: Cross multiply
    14,188x = 21,291 × 21,291
  4. Step 4: Simplify right side
    14,188x = 453,306,681
  5. Step 5: Solve for x
    x = 453,306,681/14,188
  6. Step 6: Final answer
    x = 31,950.01

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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.