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Finding the Third Proportional to 9,458.44 and 13,913.44

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Solution

The third proportional to 9,458.44 and 13,913.44 is: 20,466.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.44 : 13,913.44 = 13,913.44 : x
  2. Step 2: Convert to fraction form
    9,458.44/13,913.44 = 13,913.44/x
  3. Step 3: Cross multiply
    9,458.44x = 13,913.44 × 13,913.44
  4. Step 4: Simplify right side
    9,458.44x = 193,583,743.07
  5. Step 5: Solve for x
    x = 193,583,743.07/9,458.44
  6. Step 6: Final answer
    x = 20,466.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.