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Finding the Third Proportional to 37,018.69 and 54,145.97

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Solution

The third proportional to 37,018.69 and 54,145.97 is: 79,197.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,018.69 : 54,145.97 = 54,145.97 : x
  2. Step 2: Convert to fraction form
    37,018.69/54,145.97 = 54,145.97/x
  3. Step 3: Cross multiply
    37,018.69x = 54,145.97 × 54,145.97
  4. Step 4: Simplify right side
    37,018.69x = 2,931,785,931.88
  5. Step 5: Solve for x
    x = 2,931,785,931.88/37,018.69
  6. Step 6: Final answer
    x = 79,197.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.