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Finding the Third Proportional to 43,170 and 58,323

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Solution

The third proportional to 43,170 and 58,323 is: 78,794.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,170 : 58,323 = 58,323 : x
  2. Step 2: Convert to fraction form
    43,170/58,323 = 58,323/x
  3. Step 3: Cross multiply
    43,170x = 58,323 × 58,323
  4. Step 4: Simplify right side
    43,170x = 3,401,572,329
  5. Step 5: Solve for x
    x = 3,401,572,329/43,170
  6. Step 6: Final answer
    x = 78,794.82

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.