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Finding the Third Proportional to 5,698 and 13,315

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Solution

The third proportional to 5,698 and 13,315 is: 31,114.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698 : 13,315 = 13,315 : x
  2. Step 2: Convert to fraction form
    5,698/13,315 = 13,315/x
  3. Step 3: Cross multiply
    5,698x = 13,315 × 13,315
  4. Step 4: Simplify right side
    5,698x = 177,289,225
  5. Step 5: Solve for x
    x = 177,289,225/5,698
  6. Step 6: Final answer
    x = 31,114.29

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.