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Finding the Third Proportional to 10,200 and 22,032

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Solution

The third proportional to 10,200 and 22,032 is: 47,589.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200 : 22,032 = 22,032 : x
  2. Step 2: Convert to fraction form
    10,200/22,032 = 22,032/x
  3. Step 3: Cross multiply
    10,200x = 22,032 × 22,032
  4. Step 4: Simplify right side
    10,200x = 485,409,024
  5. Step 5: Solve for x
    x = 485,409,024/10,200
  6. Step 6: Final answer
    x = 47,589.12

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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.