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Finding the Third Proportional to 5,987.25 and 13,010.63

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Solution

The third proportional to 5,987.25 and 13,010.63 is: 28,272.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,987.25 : 13,010.63 = 13,010.63 : x
  2. Step 2: Convert to fraction form
    5,987.25/13,010.63 = 13,010.63/x
  3. Step 3: Cross multiply
    5,987.25x = 13,010.63 × 13,010.63
  4. Step 4: Simplify right side
    5,987.25x = 169,276,362.89
  5. Step 5: Solve for x
    x = 169,276,362.89/5,987.25
  6. Step 6: Final answer
    x = 28,272.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.