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Finding the Third Proportional to 7,573 and 15,842

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Solution

The third proportional to 7,573 and 15,842 is: 33,139.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,573 : 15,842 = 15,842 : x
  2. Step 2: Convert to fraction form
    7,573/15,842 = 15,842/x
  3. Step 3: Cross multiply
    7,573x = 15,842 × 15,842
  4. Step 4: Simplify right side
    7,573x = 250,968,964
  5. Step 5: Solve for x
    x = 250,968,964/7,573
  6. Step 6: Final answer
    x = 33,139.97

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.