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Finding the Third Proportional to 21,674 and 32,423

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Solution

The third proportional to 21,674 and 32,423 is: 48,502.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,674 : 32,423 = 32,423 : x
  2. Step 2: Convert to fraction form
    21,674/32,423 = 32,423/x
  3. Step 3: Cross multiply
    21,674x = 32,423 × 32,423
  4. Step 4: Simplify right side
    21,674x = 1,051,250,929
  5. Step 5: Solve for x
    x = 1,051,250,929/21,674
  6. Step 6: Final answer
    x = 48,502.86

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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.