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Finding the Third Proportional to 18,500 and 34,840

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Solution

The third proportional to 18,500 and 34,840 is: 65,612.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,500 : 34,840 = 34,840 : x
  2. Step 2: Convert to fraction form
    18,500/34,840 = 34,840/x
  3. Step 3: Cross multiply
    18,500x = 34,840 × 34,840
  4. Step 4: Simplify right side
    18,500x = 1,213,825,600
  5. Step 5: Solve for x
    x = 1,213,825,600/18,500
  6. Step 6: Final answer
    x = 65,612.19

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.