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Finding the Third Proportional to 13,186.87 and 28,874.97

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Solution

The third proportional to 13,186.87 and 28,874.97 is: 63,226.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,186.87 : 28,874.97 = 28,874.97 : x
  2. Step 2: Convert to fraction form
    13,186.87/28,874.97 = 28,874.97/x
  3. Step 3: Cross multiply
    13,186.87x = 28,874.97 × 28,874.97
  4. Step 4: Simplify right side
    13,186.87x = 833,763,742.77
  5. Step 5: Solve for x
    x = 833,763,742.77/13,186.87
  6. Step 6: Final answer
    x = 63,226.80

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.