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Finding the Third Proportional to 37,179 and 55,812.38

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Solution

The third proportional to 37,179 and 55,812.38 is: 83,784.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,179 : 55,812.38 = 55,812.38 : x
  2. Step 2: Convert to fraction form
    37,179/55,812.38 = 55,812.38/x
  3. Step 3: Cross multiply
    37,179x = 55,812.38 × 55,812.38
  4. Step 4: Simplify right side
    37,179x = 3,115,021,203.14
  5. Step 5: Solve for x
    x = 3,115,021,203.14/37,179
  6. Step 6: Final answer
    x = 83,784.43

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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.