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Finding the Third Proportional to 12,641.06 and 18,504.70

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Solution

The third proportional to 12,641.06 and 18,504.70 is: 27,088.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.06 : 18,504.70 = 18,504.70 : x
  2. Step 2: Convert to fraction form
    12,641.06/18,504.70 = 18,504.70/x
  3. Step 3: Cross multiply
    12,641.06x = 18,504.70 × 18,504.70
  4. Step 4: Simplify right side
    12,641.06x = 342,424,037.74
  5. Step 5: Solve for x
    x = 342,424,037.74/12,641.06
  6. Step 6: Final answer
    x = 27,088.23

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.