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Finding the Third Proportional to 37,090.13 and 58,942.13

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Solution

The third proportional to 37,090.13 and 58,942.13 is: 93,668.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,090.13 : 58,942.13 = 58,942.13 : x
  2. Step 2: Convert to fraction form
    37,090.13/58,942.13 = 58,942.13/x
  3. Step 3: Cross multiply
    37,090.13x = 58,942.13 × 58,942.13
  4. Step 4: Simplify right side
    37,090.13x = 3,474,174,099.52
  5. Step 5: Solve for x
    x = 3,474,174,099.52/37,090.13
  6. Step 6: Final answer
    x = 93,668.44

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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.