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Finding the Third Proportional to 49,043.25 and 69,062.63

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Solution

The third proportional to 49,043.25 and 69,062.63 is: 97,253.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,043.25 : 69,062.63 = 69,062.63 : x
  2. Step 2: Convert to fraction form
    49,043.25/69,062.63 = 69,062.63/x
  3. Step 3: Cross multiply
    49,043.25x = 69,062.63 × 69,062.63
  4. Step 4: Simplify right side
    49,043.25x = 4,769,646,171.89
  5. Step 5: Solve for x
    x = 4,769,646,171.89/49,043.25
  6. Step 6: Final answer
    x = 97,253.88

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.