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Finding the Third Proportional to 32,129 and 69,621.50

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Solution

The third proportional to 32,129 and 69,621.50 is: 150,865.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,129 : 69,621.50 = 69,621.50 : x
  2. Step 2: Convert to fraction form
    32,129/69,621.50 = 69,621.50/x
  3. Step 3: Cross multiply
    32,129x = 69,621.50 × 69,621.50
  4. Step 4: Simplify right side
    32,129x = 4,847,153,262.25
  5. Step 5: Solve for x
    x = 4,847,153,262.25/32,129
  6. Step 6: Final answer
    x = 150,865.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.