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Finding the Third Proportional to 34,297.50 and 69,549

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Solution

The third proportional to 34,297.50 and 69,549 is: 141,032.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,297.50 : 69,549 = 69,549 : x
  2. Step 2: Convert to fraction form
    34,297.50/69,549 = 69,549/x
  3. Step 3: Cross multiply
    34,297.50x = 69,549 × 69,549
  4. Step 4: Simplify right side
    34,297.50x = 4,837,063,401
  5. Step 5: Solve for x
    x = 4,837,063,401/34,297.50
  6. Step 6: Final answer
    x = 141,032.54

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.