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Finding the Third Proportional to 8,649.76 and 13,339.85

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Solution

The third proportional to 8,649.76 and 13,339.85 is: 20,573.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.76 : 13,339.85 = 13,339.85 : x
  2. Step 2: Convert to fraction form
    8,649.76/13,339.85 = 13,339.85/x
  3. Step 3: Cross multiply
    8,649.76x = 13,339.85 × 13,339.85
  4. Step 4: Simplify right side
    8,649.76x = 177,951,483.38
  5. Step 5: Solve for x
    x = 177,951,483.38/8,649.76
  6. Step 6: Final answer
    x = 20,573.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.