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Finding the Third Proportional to 13,626 and 32,215.50

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Solution

The third proportional to 13,626 and 32,215.50 is: 76,166.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,626 : 32,215.50 = 32,215.50 : x
  2. Step 2: Convert to fraction form
    13,626/32,215.50 = 32,215.50/x
  3. Step 3: Cross multiply
    13,626x = 32,215.50 × 32,215.50
  4. Step 4: Simplify right side
    13,626x = 1,037,838,440.25
  5. Step 5: Solve for x
    x = 1,037,838,440.25/13,626
  6. Step 6: Final answer
    x = 76,166.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.