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Finding the Third Proportional to 24,568.31 and 37,055.81

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Solution

The third proportional to 24,568.31 and 37,055.81 is: 55,890.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,568.31 : 37,055.81 = 37,055.81 : x
  2. Step 2: Convert to fraction form
    24,568.31/37,055.81 = 37,055.81/x
  3. Step 3: Cross multiply
    24,568.31x = 37,055.81 × 37,055.81
  4. Step 4: Simplify right side
    24,568.31x = 1,373,133,240.04
  5. Step 5: Solve for x
    x = 1,373,133,240.04/24,568.31
  6. Step 6: Final answer
    x = 55,890.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.