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Finding the Third Proportional to 42,942.38 and 64,216.13

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Solution

The third proportional to 42,942.38 and 64,216.13 is: 96,028.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,942.38 : 64,216.13 = 64,216.13 : x
  2. Step 2: Convert to fraction form
    42,942.38/64,216.13 = 64,216.13/x
  3. Step 3: Cross multiply
    42,942.38x = 64,216.13 × 64,216.13
  4. Step 4: Simplify right side
    42,942.38x = 4,123,710,710.02
  5. Step 5: Solve for x
    x = 4,123,710,710.02/42,942.38
  6. Step 6: Final answer
    x = 96,028.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.