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Finding the Third Proportional to 5,896.78 and 8,630.53

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Solution

The third proportional to 5,896.78 and 8,630.53 is: 12,631.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.78 : 8,630.53 = 8,630.53 : x
  2. Step 2: Convert to fraction form
    5,896.78/8,630.53 = 8,630.53/x
  3. Step 3: Cross multiply
    5,896.78x = 8,630.53 × 8,630.53
  4. Step 4: Simplify right side
    5,896.78x = 74,486,120.23
  5. Step 5: Solve for x
    x = 74,486,120.23/5,896.78
  6. Step 6: Final answer
    x = 12,631.65

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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.