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Finding the Third Proportional to 32,261.63 and 69,467.63

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Solution

The third proportional to 32,261.63 and 69,467.63 is: 149,581.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,261.63 : 69,467.63 = 69,467.63 : x
  2. Step 2: Convert to fraction form
    32,261.63/69,467.63 = 69,467.63/x
  3. Step 3: Cross multiply
    32,261.63x = 69,467.63 × 69,467.63
  4. Step 4: Simplify right side
    32,261.63x = 4,825,750,923.14
  5. Step 5: Solve for x
    x = 4,825,750,923.14/32,261.63
  6. Step 6: Final answer
    x = 149,581.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.