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Finding the Third Proportional to 29,431.50 and 64,116.94

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Solution

The third proportional to 29,431.50 and 64,116.94 is: 139,679.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,431.50 : 64,116.94 = 64,116.94 : x
  2. Step 2: Convert to fraction form
    29,431.50/64,116.94 = 64,116.94/x
  3. Step 3: Cross multiply
    29,431.50x = 64,116.94 × 64,116.94
  4. Step 4: Simplify right side
    29,431.50x = 4,110,981,674.38
  5. Step 5: Solve for x
    x = 4,110,981,674.38/29,431.50
  6. Step 6: Final answer
    x = 139,679.65

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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.