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Finding the Third Proportional to 34,047.38 and 52,506.94

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Solution

The third proportional to 34,047.38 and 52,506.94 is: 80,974.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,047.38 : 52,506.94 = 52,506.94 : x
  2. Step 2: Convert to fraction form
    34,047.38/52,506.94 = 52,506.94/x
  3. Step 3: Cross multiply
    34,047.38x = 52,506.94 × 52,506.94
  4. Step 4: Simplify right side
    34,047.38x = 2,756,978,485.63
  5. Step 5: Solve for x
    x = 2,756,978,485.63/34,047.38
  6. Step 6: Final answer
    x = 80,974.77

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.