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Finding the Third Proportional to 14,612.27 and 22,773.66

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Solution

The third proportional to 14,612.27 and 22,773.66 is: 35,493.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,612.27 : 22,773.66 = 22,773.66 : x
  2. Step 2: Convert to fraction form
    14,612.27/22,773.66 = 22,773.66/x
  3. Step 3: Cross multiply
    14,612.27x = 22,773.66 × 22,773.66
  4. Step 4: Simplify right side
    14,612.27x = 518,639,418.99
  5. Step 5: Solve for x
    x = 518,639,418.99/14,612.27
  6. Step 6: Final answer
    x = 35,493.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.