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Finding the Third Proportional to 6,184 and 7,828

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Solution

The third proportional to 6,184 and 7,828 is: 9,909.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184 : 7,828 = 7,828 : x
  2. Step 2: Convert to fraction form
    6,184/7,828 = 7,828/x
  3. Step 3: Cross multiply
    6,184x = 7,828 × 7,828
  4. Step 4: Simplify right side
    6,184x = 61,277,584
  5. Step 5: Solve for x
    x = 61,277,584/6,184
  6. Step 6: Final answer
    x = 9,909.05

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.