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Finding the Third Proportional to 10,835.44 and 23,351.63

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Solution

The third proportional to 10,835.44 and 23,351.63 is: 50,325.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,835.44 : 23,351.63 = 23,351.63 : x
  2. Step 2: Convert to fraction form
    10,835.44/23,351.63 = 23,351.63/x
  3. Step 3: Cross multiply
    10,835.44x = 23,351.63 × 23,351.63
  4. Step 4: Simplify right side
    10,835.44x = 545,298,390.14
  5. Step 5: Solve for x
    x = 545,298,390.14/10,835.44
  6. Step 6: Final answer
    x = 50,325.46

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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.