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Finding the Third Proportional to 14,792.15 and 31,839.64

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Solution

The third proportional to 14,792.15 and 31,839.64 is: 68,533.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,792.15 : 31,839.64 = 31,839.64 : x
  2. Step 2: Convert to fraction form
    14,792.15/31,839.64 = 31,839.64/x
  3. Step 3: Cross multiply
    14,792.15x = 31,839.64 × 31,839.64
  4. Step 4: Simplify right side
    14,792.15x = 1,013,762,963.88
  5. Step 5: Solve for x
    x = 1,013,762,963.88/14,792.15
  6. Step 6: Final answer
    x = 68,533.85

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.