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Finding the Third Proportional to 38,728.13 and 57,029.06

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Solution

The third proportional to 38,728.13 and 57,029.06 is: 83,978.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,728.13 : 57,029.06 = 57,029.06 : x
  2. Step 2: Convert to fraction form
    38,728.13/57,029.06 = 57,029.06/x
  3. Step 3: Cross multiply
    38,728.13x = 57,029.06 × 57,029.06
  4. Step 4: Simplify right side
    38,728.13x = 3,252,313,969.63
  5. Step 5: Solve for x
    x = 3,252,313,969.63/38,728.13
  6. Step 6: Final answer
    x = 83,978.09

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.