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Finding the Third Proportional to 31,267.38 and 49,128.63

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Solution

The third proportional to 31,267.38 and 49,128.63 is: 77,192.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,267.38 : 49,128.63 = 49,128.63 : x
  2. Step 2: Convert to fraction form
    31,267.38/49,128.63 = 49,128.63/x
  3. Step 3: Cross multiply
    31,267.38x = 49,128.63 × 49,128.63
  4. Step 4: Simplify right side
    31,267.38x = 2,413,621,794.39
  5. Step 5: Solve for x
    x = 2,413,621,794.39/31,267.38
  6. Step 6: Final answer
    x = 77,192.98

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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.