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Finding the Third Proportional to 5,792.34 and 8,661.94

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Solution

The third proportional to 5,792.34 and 8,661.94 is: 12,953.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.34 : 8,661.94 = 8,661.94 : x
  2. Step 2: Convert to fraction form
    5,792.34/8,661.94 = 8,661.94/x
  3. Step 3: Cross multiply
    5,792.34x = 8,661.94 × 8,661.94
  4. Step 4: Simplify right side
    5,792.34x = 75,029,161.25
  5. Step 5: Solve for x
    x = 75,029,161.25/5,792.34
  6. Step 6: Final answer
    x = 12,953.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.