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Finding the Third Proportional to 10,464.19 and 15,696.28

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Solution

The third proportional to 10,464.19 and 15,696.28 is: 23,544.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.19 : 15,696.28 = 15,696.28 : x
  2. Step 2: Convert to fraction form
    10,464.19/15,696.28 = 15,696.28/x
  3. Step 3: Cross multiply
    10,464.19x = 15,696.28 × 15,696.28
  4. Step 4: Simplify right side
    10,464.19x = 246,373,245.08
  5. Step 5: Solve for x
    x = 246,373,245.08/10,464.19
  6. Step 6: Final answer
    x = 23,544.42

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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.