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Finding the Third Proportional to 32,457 and 69,909

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Solution

The third proportional to 32,457 and 69,909 is: 150,576.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,457 : 69,909 = 69,909 : x
  2. Step 2: Convert to fraction form
    32,457/69,909 = 69,909/x
  3. Step 3: Cross multiply
    32,457x = 69,909 × 69,909
  4. Step 4: Simplify right side
    32,457x = 4,887,268,281
  5. Step 5: Solve for x
    x = 4,887,268,281/32,457
  6. Step 6: Final answer
    x = 150,576.71

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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.