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Finding the Third Proportional to 35,345.21 and 76,909.92

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Solution

The third proportional to 35,345.21 and 76,909.92 is: 167,353.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,345.21 : 76,909.92 = 76,909.92 : x
  2. Step 2: Convert to fraction form
    35,345.21/76,909.92 = 76,909.92/x
  3. Step 3: Cross multiply
    35,345.21x = 76,909.92 × 76,909.92
  4. Step 4: Simplify right side
    35,345.21x = 5,915,136,082.82
  5. Step 5: Solve for x
    x = 5,915,136,082.82/35,345.21
  6. Step 6: Final answer
    x = 167,353.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.