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Finding the Third Proportional to 9,537.75 and 22,842

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Solution

The third proportional to 9,537.75 and 22,842 is: 54,704.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.75 : 22,842 = 22,842 : x
  2. Step 2: Convert to fraction form
    9,537.75/22,842 = 22,842/x
  3. Step 3: Cross multiply
    9,537.75x = 22,842 × 22,842
  4. Step 4: Simplify right side
    9,537.75x = 521,756,964
  5. Step 5: Solve for x
    x = 521,756,964/9,537.75
  6. Step 6: Final answer
    x = 54,704.41

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.