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Finding the Third Proportional to 10,524.94 and 23,031.75

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Solution

The third proportional to 10,524.94 and 23,031.75 is: 50,400.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.94 : 23,031.75 = 23,031.75 : x
  2. Step 2: Convert to fraction form
    10,524.94/23,031.75 = 23,031.75/x
  3. Step 3: Cross multiply
    10,524.94x = 23,031.75 × 23,031.75
  4. Step 4: Simplify right side
    10,524.94x = 530,461,508.06
  5. Step 5: Solve for x
    x = 530,461,508.06/10,524.94
  6. Step 6: Final answer
    x = 50,400.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.