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Finding the Third Proportional to 9,797 and 23,122.50

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Solution

The third proportional to 9,797 and 23,122.50 is: 54,572.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797 : 23,122.50 = 23,122.50 : x
  2. Step 2: Convert to fraction form
    9,797/23,122.50 = 23,122.50/x
  3. Step 3: Cross multiply
    9,797x = 23,122.50 × 23,122.50
  4. Step 4: Simplify right side
    9,797x = 534,650,006.25
  5. Step 5: Solve for x
    x = 534,650,006.25/9,797
  6. Step 6: Final answer
    x = 54,572.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.