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Finding the Third Proportional to 24,947.81 and 37,323.19

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Solution

The third proportional to 24,947.81 and 37,323.19 is: 55,837.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,947.81 : 37,323.19 = 37,323.19 : x
  2. Step 2: Convert to fraction form
    24,947.81/37,323.19 = 37,323.19/x
  3. Step 3: Cross multiply
    24,947.81x = 37,323.19 × 37,323.19
  4. Step 4: Simplify right side
    24,947.81x = 1,393,020,325.16
  5. Step 5: Solve for x
    x = 1,393,020,325.16/24,947.81
  6. Step 6: Final answer
    x = 55,837.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.