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Finding the Third Proportional to 11,861.44 and 19,159.03

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Solution

The third proportional to 11,861.44 and 19,159.03 is: 30,946.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,861.44 : 19,159.03 = 19,159.03 : x
  2. Step 2: Convert to fraction form
    11,861.44/19,159.03 = 19,159.03/x
  3. Step 3: Cross multiply
    11,861.44x = 19,159.03 × 19,159.03
  4. Step 4: Simplify right side
    11,861.44x = 367,068,478.44
  5. Step 5: Solve for x
    x = 367,068,478.44/11,861.44
  6. Step 6: Final answer
    x = 30,946.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.