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Finding the Third Proportional to 9,891.44 and 23,349.81

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Solution

The third proportional to 9,891.44 and 23,349.81 is: 55,119.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.44 : 23,349.81 = 23,349.81 : x
  2. Step 2: Convert to fraction form
    9,891.44/23,349.81 = 23,349.81/x
  3. Step 3: Cross multiply
    9,891.44x = 23,349.81 × 23,349.81
  4. Step 4: Simplify right side
    9,891.44x = 545,213,743.79
  5. Step 5: Solve for x
    x = 545,213,743.79/9,891.44
  6. Step 6: Final answer
    x = 55,119.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.