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Finding the Third Proportional to 16,241.63 and 23,800.22

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Solution

The third proportional to 16,241.63 and 23,800.22 is: 34,876.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.63 : 23,800.22 = 23,800.22 : x
  2. Step 2: Convert to fraction form
    16,241.63/23,800.22 = 23,800.22/x
  3. Step 3: Cross multiply
    16,241.63x = 23,800.22 × 23,800.22
  4. Step 4: Simplify right side
    16,241.63x = 566,450,412.55
  5. Step 5: Solve for x
    x = 566,450,412.55/16,241.63
  6. Step 6: Final answer
    x = 34,876.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.