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Finding the Third Proportional to 9,996.47 and 23,142.09

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Solution

The third proportional to 9,996.47 and 23,142.09 is: 53,574.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996.47 : 23,142.09 = 23,142.09 : x
  2. Step 2: Convert to fraction form
    9,996.47/23,142.09 = 23,142.09/x
  3. Step 3: Cross multiply
    9,996.47x = 23,142.09 × 23,142.09
  4. Step 4: Simplify right side
    9,996.47x = 535,556,503.13
  5. Step 5: Solve for x
    x = 535,556,503.13/9,996.47
  6. Step 6: Final answer
    x = 53,574.57

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.