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Finding the Third Proportional to 35,037.56 and 78,845.91

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Solution

The third proportional to 35,037.56 and 78,845.91 is: 177,428.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,037.56 : 78,845.91 = 78,845.91 : x
  2. Step 2: Convert to fraction form
    35,037.56/78,845.91 = 78,845.91/x
  3. Step 3: Cross multiply
    35,037.56x = 78,845.91 × 78,845.91
  4. Step 4: Simplify right side
    35,037.56x = 6,216,676,932.38
  5. Step 5: Solve for x
    x = 6,216,676,932.38/35,037.56
  6. Step 6: Final answer
    x = 177,428.92

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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.