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Finding the Third Proportional to 5,649.75 and 8,501.63

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Solution

The third proportional to 5,649.75 and 8,501.63 is: 12,793.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.75 : 8,501.63 = 8,501.63 : x
  2. Step 2: Convert to fraction form
    5,649.75/8,501.63 = 8,501.63/x
  3. Step 3: Cross multiply
    5,649.75x = 8,501.63 × 8,501.63
  4. Step 4: Simplify right side
    5,649.75x = 72,277,627.64
  5. Step 5: Solve for x
    x = 72,277,627.64/5,649.75
  6. Step 6: Final answer
    x = 12,793.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.