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Finding the Third Proportional to 23,886.14 and 37,939.32

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Solution

The third proportional to 23,886.14 and 37,939.32 is: 60,260.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,886.14 : 37,939.32 = 37,939.32 : x
  2. Step 2: Convert to fraction form
    23,886.14/37,939.32 = 37,939.32/x
  3. Step 3: Cross multiply
    23,886.14x = 37,939.32 × 37,939.32
  4. Step 4: Simplify right side
    23,886.14x = 1,439,392,322.18
  5. Step 5: Solve for x
    x = 1,439,392,322.18/23,886.14
  6. Step 6: Final answer
    x = 60,260.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.