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Finding the Third Proportional to 3,639 and 8,434.50

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Solution

The third proportional to 3,639 and 8,434.50 is: 19,549.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639 : 8,434.50 = 8,434.50 : x
  2. Step 2: Convert to fraction form
    3,639/8,434.50 = 8,434.50/x
  3. Step 3: Cross multiply
    3,639x = 8,434.50 × 8,434.50
  4. Step 4: Simplify right side
    3,639x = 71,140,790.25
  5. Step 5: Solve for x
    x = 71,140,790.25/3,639
  6. Step 6: Final answer
    x = 19,549.54

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.