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Finding the Third Proportional to 14,612.06 and 22,024.41

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Solution

The third proportional to 14,612.06 and 22,024.41 is: 33,196.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,612.06 : 22,024.41 = 22,024.41 : x
  2. Step 2: Convert to fraction form
    14,612.06/22,024.41 = 22,024.41/x
  3. Step 3: Cross multiply
    14,612.06x = 22,024.41 × 22,024.41
  4. Step 4: Simplify right side
    14,612.06x = 485,074,470.67
  5. Step 5: Solve for x
    x = 485,074,470.67/14,612.06
  6. Step 6: Final answer
    x = 33,196.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.