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Finding the Third Proportional to 37,112 and 57,045

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Solution

The third proportional to 37,112 and 57,045 is: 87,684.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,112 : 57,045 = 57,045 : x
  2. Step 2: Convert to fraction form
    37,112/57,045 = 57,045/x
  3. Step 3: Cross multiply
    37,112x = 57,045 × 57,045
  4. Step 4: Simplify right side
    37,112x = 3,254,132,025
  5. Step 5: Solve for x
    x = 3,254,132,025/37,112
  6. Step 6: Final answer
    x = 87,684.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.