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Finding the Third Proportional to 9,574.25 and 13,789.75

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Solution

The third proportional to 9,574.25 and 13,789.75 is: 19,861.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.25 : 13,789.75 = 13,789.75 : x
  2. Step 2: Convert to fraction form
    9,574.25/13,789.75 = 13,789.75/x
  3. Step 3: Cross multiply
    9,574.25x = 13,789.75 × 13,789.75
  4. Step 4: Simplify right side
    9,574.25x = 190,157,205.06
  5. Step 5: Solve for x
    x = 190,157,205.06/9,574.25
  6. Step 6: Final answer
    x = 19,861.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.