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Finding the Third Proportional to 31,055.91 and 49,197.38

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Solution

The third proportional to 31,055.91 and 49,197.38 is: 77,936.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,055.91 : 49,197.38 = 49,197.38 : x
  2. Step 2: Convert to fraction form
    31,055.91/49,197.38 = 49,197.38/x
  3. Step 3: Cross multiply
    31,055.91x = 49,197.38 × 49,197.38
  4. Step 4: Simplify right side
    31,055.91x = 2,420,381,706.89
  5. Step 5: Solve for x
    x = 2,420,381,706.89/31,055.91
  6. Step 6: Final answer
    x = 77,936.28

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.