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Finding the Third Proportional to 6,972 and 7,740

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Solution

The third proportional to 6,972 and 7,740 is: 8,592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972 : 7,740 = 7,740 : x
  2. Step 2: Convert to fraction form
    6,972/7,740 = 7,740/x
  3. Step 3: Cross multiply
    6,972x = 7,740 × 7,740
  4. Step 4: Simplify right side
    6,972x = 59,907,600
  5. Step 5: Solve for x
    x = 59,907,600/6,972
  6. Step 6: Final answer
    x = 8,592.60

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.