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Finding the Third Proportional to 14,772.38 and 31,620.38

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Solution

The third proportional to 14,772.38 and 31,620.38 is: 67,683.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,772.38 : 31,620.38 = 31,620.38 : x
  2. Step 2: Convert to fraction form
    14,772.38/31,620.38 = 31,620.38/x
  3. Step 3: Cross multiply
    14,772.38x = 31,620.38 × 31,620.38
  4. Step 4: Simplify right side
    14,772.38x = 999,848,115.14
  5. Step 5: Solve for x
    x = 999,848,115.14/14,772.38
  6. Step 6: Final answer
    x = 67,683.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.