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Finding the Third Proportional to 6,057 and 13,041.38

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Solution

The third proportional to 6,057 and 13,041.38 is: 28,079.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057 : 13,041.38 = 13,041.38 : x
  2. Step 2: Convert to fraction form
    6,057/13,041.38 = 13,041.38/x
  3. Step 3: Cross multiply
    6,057x = 13,041.38 × 13,041.38
  4. Step 4: Simplify right side
    6,057x = 170,077,461.89
  5. Step 5: Solve for x
    x = 170,077,461.89/6,057
  6. Step 6: Final answer
    x = 28,079.49

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.