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Finding the Third Proportional to 6,735.45 and 14,636.74

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Solution

The third proportional to 6,735.45 and 14,636.74 is: 31,806.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.45 : 14,636.74 = 14,636.74 : x
  2. Step 2: Convert to fraction form
    6,735.45/14,636.74 = 14,636.74/x
  3. Step 3: Cross multiply
    6,735.45x = 14,636.74 × 14,636.74
  4. Step 4: Simplify right side
    6,735.45x = 214,234,221.86
  5. Step 5: Solve for x
    x = 214,234,221.86/6,735.45
  6. Step 6: Final answer
    x = 31,806.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.