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Finding the Third Proportional to 9,846 and 23,001.75

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Solution

The third proportional to 9,846 and 23,001.75 is: 53,735.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846 : 23,001.75 = 23,001.75 : x
  2. Step 2: Convert to fraction form
    9,846/23,001.75 = 23,001.75/x
  3. Step 3: Cross multiply
    9,846x = 23,001.75 × 23,001.75
  4. Step 4: Simplify right side
    9,846x = 529,080,503.06
  5. Step 5: Solve for x
    x = 529,080,503.06/9,846
  6. Step 6: Final answer
    x = 53,735.58

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.