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Finding the Third Proportional to 11,561.91 and 24,964.88

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Solution

The third proportional to 11,561.91 and 24,964.88 is: 53,905.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561.91 : 24,964.88 = 24,964.88 : x
  2. Step 2: Convert to fraction form
    11,561.91/24,964.88 = 24,964.88/x
  3. Step 3: Cross multiply
    11,561.91x = 24,964.88 × 24,964.88
  4. Step 4: Simplify right side
    11,561.91x = 623,244,983.77
  5. Step 5: Solve for x
    x = 623,244,983.77/11,561.91
  6. Step 6: Final answer
    x = 53,905.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.