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Finding the Third Proportional to 39,835.13 and 61,145.44

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Solution

The third proportional to 39,835.13 and 61,145.44 is: 93,855.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,835.13 : 61,145.44 = 61,145.44 : x
  2. Step 2: Convert to fraction form
    39,835.13/61,145.44 = 61,145.44/x
  3. Step 3: Cross multiply
    39,835.13x = 61,145.44 × 61,145.44
  4. Step 4: Simplify right side
    39,835.13x = 3,738,764,527.07
  5. Step 5: Solve for x
    x = 3,738,764,527.07/39,835.13
  6. Step 6: Final answer
    x = 93,855.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.