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Finding the Third Proportional to 29,596.38 and 64,922.77

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Solution

The third proportional to 29,596.38 and 64,922.77 is: 142,414.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,596.38 : 64,922.77 = 64,922.77 : x
  2. Step 2: Convert to fraction form
    29,596.38/64,922.77 = 64,922.77/x
  3. Step 3: Cross multiply
    29,596.38x = 64,922.77 × 64,922.77
  4. Step 4: Simplify right side
    29,596.38x = 4,214,965,496.40
  5. Step 5: Solve for x
    x = 4,214,965,496.40/29,596.38
  6. Step 6: Final answer
    x = 142,414.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.