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Finding the Third Proportional to 38,553.35 and 57,509.13

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Solution

The third proportional to 38,553.35 and 57,509.13 is: 85,785.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,553.35 : 57,509.13 = 57,509.13 : x
  2. Step 2: Convert to fraction form
    38,553.35/57,509.13 = 57,509.13/x
  3. Step 3: Cross multiply
    38,553.35x = 57,509.13 × 57,509.13
  4. Step 4: Simplify right side
    38,553.35x = 3,307,300,019.88
  5. Step 5: Solve for x
    x = 3,307,300,019.88/38,553.35
  6. Step 6: Final answer
    x = 85,785.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.