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Finding the Third Proportional to 5,194 and 6,970

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Solution

The third proportional to 5,194 and 6,970 is: 9,353.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194 : 6,970 = 6,970 : x
  2. Step 2: Convert to fraction form
    5,194/6,970 = 6,970/x
  3. Step 3: Cross multiply
    5,194x = 6,970 × 6,970
  4. Step 4: Simplify right side
    5,194x = 48,580,900
  5. Step 5: Solve for x
    x = 48,580,900/5,194
  6. Step 6: Final answer
    x = 9,353.27

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.