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Finding the Third Proportional to 29,494 and 64,171.50

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Solution

The third proportional to 29,494 and 64,171.50 is: 139,620.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,494 : 64,171.50 = 64,171.50 : x
  2. Step 2: Convert to fraction form
    29,494/64,171.50 = 64,171.50/x
  3. Step 3: Cross multiply
    29,494x = 64,171.50 × 64,171.50
  4. Step 4: Simplify right side
    29,494x = 4,117,981,412.25
  5. Step 5: Solve for x
    x = 4,117,981,412.25/29,494
  6. Step 6: Final answer
    x = 139,620.99

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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.