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Finding the Third Proportional to 49,447.13 and 70,012.69

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Solution

The third proportional to 49,447.13 and 70,012.69 is: 99,131.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,447.13 : 70,012.69 = 70,012.69 : x
  2. Step 2: Convert to fraction form
    49,447.13/70,012.69 = 70,012.69/x
  3. Step 3: Cross multiply
    49,447.13x = 70,012.69 × 70,012.69
  4. Step 4: Simplify right side
    49,447.13x = 4,901,776,410.97
  5. Step 5: Solve for x
    x = 4,901,776,410.97/49,447.13
  6. Step 6: Final answer
    x = 99,131.68

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.