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Finding the Third Proportional to 34,931.25 and 53,757.42

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Solution

The third proportional to 34,931.25 and 53,757.42 is: 82,729.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,931.25 : 53,757.42 = 53,757.42 : x
  2. Step 2: Convert to fraction form
    34,931.25/53,757.42 = 53,757.42/x
  3. Step 3: Cross multiply
    34,931.25x = 53,757.42 × 53,757.42
  4. Step 4: Simplify right side
    34,931.25x = 2,889,860,406.65
  5. Step 5: Solve for x
    x = 2,889,860,406.65/34,931.25
  6. Step 6: Final answer
    x = 82,729.95

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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.