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Finding the Third Proportional to 15,589.13 and 37,739.81

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Solution

The third proportional to 15,589.13 and 37,739.81 is: 91,364.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,589.13 : 37,739.81 = 37,739.81 : x
  2. Step 2: Convert to fraction form
    15,589.13/37,739.81 = 37,739.81/x
  3. Step 3: Cross multiply
    15,589.13x = 37,739.81 × 37,739.81
  4. Step 4: Simplify right side
    15,589.13x = 1,424,293,447.54
  5. Step 5: Solve for x
    x = 1,424,293,447.54/15,589.13
  6. Step 6: Final answer
    x = 91,364.55

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.