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Finding the Third Proportional to 7,638 and 15,582

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Solution

The third proportional to 7,638 and 15,582 is: 31,788.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638 : 15,582 = 15,582 : x
  2. Step 2: Convert to fraction form
    7,638/15,582 = 15,582/x
  3. Step 3: Cross multiply
    7,638x = 15,582 × 15,582
  4. Step 4: Simplify right side
    7,638x = 242,798,724
  5. Step 5: Solve for x
    x = 242,798,724/7,638
  6. Step 6: Final answer
    x = 31,788.26

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.