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Finding the Third Proportional to 23,383.69 and 25,570.69

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Solution

The third proportional to 23,383.69 and 25,570.69 is: 27,962.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,383.69 : 25,570.69 = 25,570.69 : x
  2. Step 2: Convert to fraction form
    23,383.69/25,570.69 = 25,570.69/x
  3. Step 3: Cross multiply
    23,383.69x = 25,570.69 × 25,570.69
  4. Step 4: Simplify right side
    23,383.69x = 653,860,059.22
  5. Step 5: Solve for x
    x = 653,860,059.22/23,383.69
  6. Step 6: Final answer
    x = 27,962.23

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.