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Finding the Third Proportional to 38,285 and 57,470

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Solution

The third proportional to 38,285 and 57,470 is: 86,268.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,285 : 57,470 = 57,470 : x
  2. Step 2: Convert to fraction form
    38,285/57,470 = 57,470/x
  3. Step 3: Cross multiply
    38,285x = 57,470 × 57,470
  4. Step 4: Simplify right side
    38,285x = 3,302,800,900
  5. Step 5: Solve for x
    x = 3,302,800,900/38,285
  6. Step 6: Final answer
    x = 86,268.80

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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.