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Finding the Third Proportional to 31,448.25 and 49,253.06

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Solution

The third proportional to 31,448.25 and 49,253.06 is: 77,138.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,448.25 : 49,253.06 = 49,253.06 : x
  2. Step 2: Convert to fraction form
    31,448.25/49,253.06 = 49,253.06/x
  3. Step 3: Cross multiply
    31,448.25x = 49,253.06 × 49,253.06
  4. Step 4: Simplify right side
    31,448.25x = 2,425,864,165.63
  5. Step 5: Solve for x
    x = 2,425,864,165.63/31,448.25
  6. Step 6: Final answer
    x = 77,138.29

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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.