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Finding the Third Proportional to 37,045 and 57,447.38

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Solution

The third proportional to 37,045 and 57,447.38 is: 89,086.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,045 : 57,447.38 = 57,447.38 : x
  2. Step 2: Convert to fraction form
    37,045/57,447.38 = 57,447.38/x
  3. Step 3: Cross multiply
    37,045x = 57,447.38 × 57,447.38
  4. Step 4: Simplify right side
    37,045x = 3,300,200,894.39
  5. Step 5: Solve for x
    x = 3,300,200,894.39/37,045
  6. Step 6: Final answer
    x = 89,086.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.