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Finding the Third Proportional to 7,384 and 8,014

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Solution

The third proportional to 7,384 and 8,014 is: 8,697.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384 : 8,014 = 8,014 : x
  2. Step 2: Convert to fraction form
    7,384/8,014 = 8,014/x
  3. Step 3: Cross multiply
    7,384x = 8,014 × 8,014
  4. Step 4: Simplify right side
    7,384x = 64,224,196
  5. Step 5: Solve for x
    x = 64,224,196/7,384
  6. Step 6: Final answer
    x = 8,697.75

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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.