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Finding the Third Proportional to 38,834.44 and 56,975.91

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Solution

The third proportional to 38,834.44 and 56,975.91 is: 83,592.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,834.44 : 56,975.91 = 56,975.91 : x
  2. Step 2: Convert to fraction form
    38,834.44/56,975.91 = 56,975.91/x
  3. Step 3: Cross multiply
    38,834.44x = 56,975.91 × 56,975.91
  4. Step 4: Simplify right side
    38,834.44x = 3,246,253,893.01
  5. Step 5: Solve for x
    x = 3,246,253,893.01/38,834.44
  6. Step 6: Final answer
    x = 83,592.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.