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Finding the Third Proportional to 5,013.94 and 7,863.47

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Solution

The third proportional to 5,013.94 and 7,863.47 is: 12,332.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,013.94 : 7,863.47 = 7,863.47 : x
  2. Step 2: Convert to fraction form
    5,013.94/7,863.47 = 7,863.47/x
  3. Step 3: Cross multiply
    5,013.94x = 7,863.47 × 7,863.47
  4. Step 4: Simplify right side
    5,013.94x = 61,834,140.78
  5. Step 5: Solve for x
    x = 61,834,140.78/5,013.94
  6. Step 6: Final answer
    x = 12,332.45

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.