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Finding the Third Proportional to 7,820 and 18,584

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Solution

The third proportional to 7,820 and 18,584 is: 44,164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820 : 18,584 = 18,584 : x
  2. Step 2: Convert to fraction form
    7,820/18,584 = 18,584/x
  3. Step 3: Cross multiply
    7,820x = 18,584 × 18,584
  4. Step 4: Simplify right side
    7,820x = 345,365,056
  5. Step 5: Solve for x
    x = 345,365,056/7,820
  6. Step 6: Final answer
    x = 44,164.33

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.