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Finding the Third Proportional to 2,649.30 and 5,708.67

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Solution

The third proportional to 2,649.30 and 5,708.67 is: 12,300.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.30 : 5,708.67 = 5,708.67 : x
  2. Step 2: Convert to fraction form
    2,649.30/5,708.67 = 5,708.67/x
  3. Step 3: Cross multiply
    2,649.30x = 5,708.67 × 5,708.67
  4. Step 4: Simplify right side
    2,649.30x = 32,588,934.58
  5. Step 5: Solve for x
    x = 32,588,934.58/2,649.30
  6. Step 6: Final answer
    x = 12,300.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.