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Finding the Third Proportional to 10,396.69 and 15,980.63

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Solution

The third proportional to 10,396.69 and 15,980.63 is: 24,563.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.69 : 15,980.63 = 15,980.63 : x
  2. Step 2: Convert to fraction form
    10,396.69/15,980.63 = 15,980.63/x
  3. Step 3: Cross multiply
    10,396.69x = 15,980.63 × 15,980.63
  4. Step 4: Simplify right side
    10,396.69x = 255,380,375.39
  5. Step 5: Solve for x
    x = 255,380,375.39/10,396.69
  6. Step 6: Final answer
    x = 24,563.63

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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.