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Finding the Third Proportional to 35,162.44 and 75,823.59

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Solution

The third proportional to 35,162.44 and 75,823.59 is: 163,504.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,162.44 : 75,823.59 = 75,823.59 : x
  2. Step 2: Convert to fraction form
    35,162.44/75,823.59 = 75,823.59/x
  3. Step 3: Cross multiply
    35,162.44x = 75,823.59 × 75,823.59
  4. Step 4: Simplify right side
    35,162.44x = 5,749,217,369.17
  5. Step 5: Solve for x
    x = 5,749,217,369.17/35,162.44
  6. Step 6: Final answer
    x = 163,504.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.