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Finding the Third Proportional to 6,472 and 13,804

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Solution

The third proportional to 6,472 and 13,804 is: 29,442.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472 : 13,804 = 13,804 : x
  2. Step 2: Convert to fraction form
    6,472/13,804 = 13,804/x
  3. Step 3: Cross multiply
    6,472x = 13,804 × 13,804
  4. Step 4: Simplify right side
    6,472x = 190,550,416
  5. Step 5: Solve for x
    x = 190,550,416/6,472
  6. Step 6: Final answer
    x = 29,442.28

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.