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Finding the Third Proportional to 14,924.25 and 22,044.66

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Solution

The third proportional to 14,924.25 and 22,044.66 is: 32,562.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,924.25 : 22,044.66 = 22,044.66 : x
  2. Step 2: Convert to fraction form
    14,924.25/22,044.66 = 22,044.66/x
  3. Step 3: Cross multiply
    14,924.25x = 22,044.66 × 22,044.66
  4. Step 4: Simplify right side
    14,924.25x = 485,966,869.18
  5. Step 5: Solve for x
    x = 485,966,869.18/14,924.25
  6. Step 6: Final answer
    x = 32,562.23

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.