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Finding the Third Proportional to 38,560 and 84,500

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Solution

The third proportional to 38,560 and 84,500 is: 185,172.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,560 : 84,500 = 84,500 : x
  2. Step 2: Convert to fraction form
    38,560/84,500 = 84,500/x
  3. Step 3: Cross multiply
    38,560x = 84,500 × 84,500
  4. Step 4: Simplify right side
    38,560x = 7,140,250,000
  5. Step 5: Solve for x
    x = 7,140,250,000/38,560
  6. Step 6: Final answer
    x = 185,172.46

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.