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Finding the Third Proportional to 9,846 and 23,000

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Solution

The third proportional to 9,846 and 23,000 is: 53,727.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846 : 23,000 = 23,000 : x
  2. Step 2: Convert to fraction form
    9,846/23,000 = 23,000/x
  3. Step 3: Cross multiply
    9,846x = 23,000 × 23,000
  4. Step 4: Simplify right side
    9,846x = 529,000,000
  5. Step 5: Solve for x
    x = 529,000,000/9,846
  6. Step 6: Final answer
    x = 53,727.40

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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.