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Finding the Third Proportional to 32,323 and 50,226

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Solution

The third proportional to 32,323 and 50,226 is: 78,045.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,323 : 50,226 = 50,226 : x
  2. Step 2: Convert to fraction form
    32,323/50,226 = 50,226/x
  3. Step 3: Cross multiply
    32,323x = 50,226 × 50,226
  4. Step 4: Simplify right side
    32,323x = 2,522,651,076
  5. Step 5: Solve for x
    x = 2,522,651,076/32,323
  6. Step 6: Final answer
    x = 78,045.08

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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.