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Finding the Third Proportional to 34,406.16 and 53,174.67

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Solution

The third proportional to 34,406.16 and 53,174.67 is: 82,181.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,406.16 : 53,174.67 = 53,174.67 : x
  2. Step 2: Convert to fraction form
    34,406.16/53,174.67 = 53,174.67/x
  3. Step 3: Cross multiply
    34,406.16x = 53,174.67 × 53,174.67
  4. Step 4: Simplify right side
    34,406.16x = 2,827,545,729.01
  5. Step 5: Solve for x
    x = 2,827,545,729.01/34,406.16
  6. Step 6: Final answer
    x = 82,181.39

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.