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Finding the Third Proportional to 5,698 and 10,592

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Solution

The third proportional to 5,698 and 10,592 is: 19,689.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698 : 10,592 = 10,592 : x
  2. Step 2: Convert to fraction form
    5,698/10,592 = 10,592/x
  3. Step 3: Cross multiply
    5,698x = 10,592 × 10,592
  4. Step 4: Simplify right side
    5,698x = 112,190,464
  5. Step 5: Solve for x
    x = 112,190,464/5,698
  6. Step 6: Final answer
    x = 19,689.45

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.