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Finding the Third Proportional to 6,164 and 6,740

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Solution

The third proportional to 6,164 and 6,740 is: 7,369.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164 : 6,740 = 6,740 : x
  2. Step 2: Convert to fraction form
    6,164/6,740 = 6,740/x
  3. Step 3: Cross multiply
    6,164x = 6,740 × 6,740
  4. Step 4: Simplify right side
    6,164x = 45,427,600
  5. Step 5: Solve for x
    x = 45,427,600/6,164
  6. Step 6: Final answer
    x = 7,369.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.