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Finding the Third Proportional to 7,946.44 and 13,969.13

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Solution

The third proportional to 7,946.44 and 13,969.13 is: 24,556.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.44 : 13,969.13 = 13,969.13 : x
  2. Step 2: Convert to fraction form
    7,946.44/13,969.13 = 13,969.13/x
  3. Step 3: Cross multiply
    7,946.44x = 13,969.13 × 13,969.13
  4. Step 4: Simplify right side
    7,946.44x = 195,136,453.27
  5. Step 5: Solve for x
    x = 195,136,453.27/7,946.44
  6. Step 6: Final answer
    x = 24,556.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.