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Finding the Third Proportional to 31,200.19 and 46,785.09

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Solution

The third proportional to 31,200.19 and 46,785.09 is: 70,154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,200.19 : 46,785.09 = 46,785.09 : x
  2. Step 2: Convert to fraction form
    31,200.19/46,785.09 = 46,785.09/x
  3. Step 3: Cross multiply
    31,200.19x = 46,785.09 × 46,785.09
  4. Step 4: Simplify right side
    31,200.19x = 2,188,844,997.20
  5. Step 5: Solve for x
    x = 2,188,844,997.20/31,200.19
  6. Step 6: Final answer
    x = 70,154.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.