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Finding the Third Proportional to 38,970.09 and 57,067.13

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Solution

The third proportional to 38,970.09 and 57,067.13 is: 83,568.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,970.09 : 57,067.13 = 57,067.13 : x
  2. Step 2: Convert to fraction form
    38,970.09/57,067.13 = 57,067.13/x
  3. Step 3: Cross multiply
    38,970.09x = 57,067.13 × 57,067.13
  4. Step 4: Simplify right side
    38,970.09x = 3,256,656,755.77
  5. Step 5: Solve for x
    x = 3,256,656,755.77/38,970.09
  6. Step 6: Final answer
    x = 83,568.10

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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.