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Finding the Third Proportional to 5,804 and 11,318

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Solution

The third proportional to 5,804 and 11,318 is: 22,070.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804 : 11,318 = 11,318 : x
  2. Step 2: Convert to fraction form
    5,804/11,318 = 11,318/x
  3. Step 3: Cross multiply
    5,804x = 11,318 × 11,318
  4. Step 4: Simplify right side
    5,804x = 128,097,124
  5. Step 5: Solve for x
    x = 128,097,124/5,804
  6. Step 6: Final answer
    x = 22,070.49

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.