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Finding the Third Proportional to 8,635 and 13,204.50

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Solution

The third proportional to 8,635 and 13,204.50 is: 20,192.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,635 : 13,204.50 = 13,204.50 : x
  2. Step 2: Convert to fraction form
    8,635/13,204.50 = 13,204.50/x
  3. Step 3: Cross multiply
    8,635x = 13,204.50 × 13,204.50
  4. Step 4: Simplify right side
    8,635x = 174,358,820.25
  5. Step 5: Solve for x
    x = 174,358,820.25/8,635
  6. Step 6: Final answer
    x = 20,192.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.