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Finding the Third Proportional to 6,069.09 and 13,010.63

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Solution

The third proportional to 6,069.09 and 13,010.63 is: 27,891.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069.09 : 13,010.63 = 13,010.63 : x
  2. Step 2: Convert to fraction form
    6,069.09/13,010.63 = 13,010.63/x
  3. Step 3: Cross multiply
    6,069.09x = 13,010.63 × 13,010.63
  4. Step 4: Simplify right side
    6,069.09x = 169,276,362.89
  5. Step 5: Solve for x
    x = 169,276,362.89/6,069.09
  6. Step 6: Final answer
    x = 27,891.54

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.