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Finding the Third Proportional to 5,124.94 and 8,150.63

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Solution

The third proportional to 5,124.94 and 8,150.63 is: 12,962.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.94 : 8,150.63 = 8,150.63 : x
  2. Step 2: Convert to fraction form
    5,124.94/8,150.63 = 8,150.63/x
  3. Step 3: Cross multiply
    5,124.94x = 8,150.63 × 8,150.63
  4. Step 4: Simplify right side
    5,124.94x = 66,432,687.89
  5. Step 5: Solve for x
    x = 66,432,687.89/5,124.94
  6. Step 6: Final answer
    x = 12,962.63

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.