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Finding the Third Proportional to 5,997.16 and 13,070.74

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Solution

The third proportional to 5,997.16 and 13,070.74 is: 28,487.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997.16 : 13,070.74 = 13,070.74 : x
  2. Step 2: Convert to fraction form
    5,997.16/13,070.74 = 13,070.74/x
  3. Step 3: Cross multiply
    5,997.16x = 13,070.74 × 13,070.74
  4. Step 4: Simplify right side
    5,997.16x = 170,844,301.33
  5. Step 5: Solve for x
    x = 170,844,301.33/5,997.16
  6. Step 6: Final answer
    x = 28,487.52

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.