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Finding the Third Proportional to 32,951.25 and 51,065.44

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Solution

The third proportional to 32,951.25 and 51,065.44 is: 79,137.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,951.25 : 51,065.44 = 51,065.44 : x
  2. Step 2: Convert to fraction form
    32,951.25/51,065.44 = 51,065.44/x
  3. Step 3: Cross multiply
    32,951.25x = 51,065.44 × 51,065.44
  4. Step 4: Simplify right side
    32,951.25x = 2,607,678,907.07
  5. Step 5: Solve for x
    x = 2,607,678,907.07/32,951.25
  6. Step 6: Final answer
    x = 79,137.48

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Why These Related Problems?

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