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Finding the Third Proportional to 37,194.75 and 55,873.13

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Solution

The third proportional to 37,194.75 and 55,873.13 is: 83,931.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,194.75 : 55,873.13 = 55,873.13 : x
  2. Step 2: Convert to fraction form
    37,194.75/55,873.13 = 55,873.13/x
  3. Step 3: Cross multiply
    37,194.75x = 55,873.13 × 55,873.13
  4. Step 4: Simplify right side
    37,194.75x = 3,121,806,097.27
  5. Step 5: Solve for x
    x = 3,121,806,097.27/37,194.75
  6. Step 6: Final answer
    x = 83,931.36

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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.