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Finding the Third Proportional to 14,437 and 21,698

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Solution

The third proportional to 14,437 and 21,698 is: 32,610.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,437 : 21,698 = 21,698 : x
  2. Step 2: Convert to fraction form
    14,437/21,698 = 21,698/x
  3. Step 3: Cross multiply
    14,437x = 21,698 × 21,698
  4. Step 4: Simplify right side
    14,437x = 470,803,204
  5. Step 5: Solve for x
    x = 470,803,204/14,437
  6. Step 6: Final answer
    x = 32,610.88

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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.