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Finding the Third Proportional to 43,577 and 67,323

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Solution

The third proportional to 43,577 and 67,323 is: 104,008.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,577 : 67,323 = 67,323 : x
  2. Step 2: Convert to fraction form
    43,577/67,323 = 67,323/x
  3. Step 3: Cross multiply
    43,577x = 67,323 × 67,323
  4. Step 4: Simplify right side
    43,577x = 4,532,386,329
  5. Step 5: Solve for x
    x = 4,532,386,329/43,577
  6. Step 6: Final answer
    x = 104,008.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.