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Finding the Third Proportional to 32,907.80 and 64,175.34

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Solution

The third proportional to 32,907.80 and 64,175.34 is: 125,151.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,907.80 : 64,175.34 = 64,175.34 : x
  2. Step 2: Convert to fraction form
    32,907.80/64,175.34 = 64,175.34/x
  3. Step 3: Cross multiply
    32,907.80x = 64,175.34 × 64,175.34
  4. Step 4: Simplify right side
    32,907.80x = 4,118,474,745.43
  5. Step 5: Solve for x
    x = 4,118,474,745.43/32,907.80
  6. Step 6: Final answer
    x = 125,151.94

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.