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Finding the Third Proportional to 6,581 and 7,133

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Solution

The third proportional to 6,581 and 7,133 is: 7,731.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581 : 7,133 = 7,133 : x
  2. Step 2: Convert to fraction form
    6,581/7,133 = 7,133/x
  3. Step 3: Cross multiply
    6,581x = 7,133 × 7,133
  4. Step 4: Simplify right side
    6,581x = 50,879,689
  5. Step 5: Solve for x
    x = 50,879,689/6,581
  6. Step 6: Final answer
    x = 7,731.30

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.