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Finding the Third Proportional to 35,695.37 and 75,400.24

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Solution

The third proportional to 35,695.37 and 75,400.24 is: 159,269.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,695.37 : 75,400.24 = 75,400.24 : x
  2. Step 2: Convert to fraction form
    35,695.37/75,400.24 = 75,400.24/x
  3. Step 3: Cross multiply
    35,695.37x = 75,400.24 × 75,400.24
  4. Step 4: Simplify right side
    35,695.37x = 5,685,196,521.93
  5. Step 5: Solve for x
    x = 5,685,196,521.93/35,695.37
  6. Step 6: Final answer
    x = 159,269.85

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.