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Finding the Third Proportional to 14,612.27 and 22,149.07

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Solution

The third proportional to 14,612.27 and 22,149.07 is: 33,573.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,612.27 : 22,149.07 = 22,149.07 : x
  2. Step 2: Convert to fraction form
    14,612.27/22,149.07 = 22,149.07/x
  3. Step 3: Cross multiply
    14,612.27x = 22,149.07 × 22,149.07
  4. Step 4: Simplify right side
    14,612.27x = 490,581,315.71
  5. Step 5: Solve for x
    x = 490,581,315.71/14,612.27
  6. Step 6: Final answer
    x = 33,573.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.