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Finding the Third Proportional to 34,319.95 and 82,650.38

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Solution

The third proportional to 34,319.95 and 82,650.38 is: 199,041.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,319.95 : 82,650.38 = 82,650.38 : x
  2. Step 2: Convert to fraction form
    34,319.95/82,650.38 = 82,650.38/x
  3. Step 3: Cross multiply
    34,319.95x = 82,650.38 × 82,650.38
  4. Step 4: Simplify right side
    34,319.95x = 6,831,084,487.64
  5. Step 5: Solve for x
    x = 6,831,084,487.64/34,319.95
  6. Step 6: Final answer
    x = 199,041.20

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.