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Finding the Third Proportional to 9,614 and 14,421

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Solution

The third proportional to 9,614 and 14,421 is: 21,631.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614 : 14,421 = 14,421 : x
  2. Step 2: Convert to fraction form
    9,614/14,421 = 14,421/x
  3. Step 3: Cross multiply
    9,614x = 14,421 × 14,421
  4. Step 4: Simplify right side
    9,614x = 207,965,241
  5. Step 5: Solve for x
    x = 207,965,241/9,614
  6. Step 6: Final answer
    x = 21,631.50

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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.