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Finding the Third Proportional to 7,698 and 15,588

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Solution

The third proportional to 7,698 and 15,588 is: 31,564.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698 : 15,588 = 15,588 : x
  2. Step 2: Convert to fraction form
    7,698/15,588 = 15,588/x
  3. Step 3: Cross multiply
    7,698x = 15,588 × 15,588
  4. Step 4: Simplify right side
    7,698x = 242,985,744
  5. Step 5: Solve for x
    x = 242,985,744/7,698
  6. Step 6: Final answer
    x = 31,564.79

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.