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Finding the Third Proportional to 8,641.69 and 12,841.03

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Solution

The third proportional to 8,641.69 and 12,841.03 is: 19,081.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641.69 : 12,841.03 = 12,841.03 : x
  2. Step 2: Convert to fraction form
    8,641.69/12,841.03 = 12,841.03/x
  3. Step 3: Cross multiply
    8,641.69x = 12,841.03 × 12,841.03
  4. Step 4: Simplify right side
    8,641.69x = 164,892,083.56
  5. Step 5: Solve for x
    x = 164,892,083.56/8,641.69
  6. Step 6: Final answer
    x = 19,081.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.