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Finding the Third Proportional to 23,562.14 and 50,814.84

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Solution

The third proportional to 23,562.14 and 50,814.84 is: 109,588.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,562.14 : 50,814.84 = 50,814.84 : x
  2. Step 2: Convert to fraction form
    23,562.14/50,814.84 = 50,814.84/x
  3. Step 3: Cross multiply
    23,562.14x = 50,814.84 × 50,814.84
  4. Step 4: Simplify right side
    23,562.14x = 2,582,148,345.34
  5. Step 5: Solve for x
    x = 2,582,148,345.34/23,562.14
  6. Step 6: Final answer
    x = 109,588.87

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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.