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Finding the Third Proportional to 6,014.63 and 8,839.69

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Solution

The third proportional to 6,014.63 and 8,839.69 is: 12,991.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,014.63 : 8,839.69 = 8,839.69 : x
  2. Step 2: Convert to fraction form
    6,014.63/8,839.69 = 8,839.69/x
  3. Step 3: Cross multiply
    6,014.63x = 8,839.69 × 8,839.69
  4. Step 4: Simplify right side
    6,014.63x = 78,140,075.10
  5. Step 5: Solve for x
    x = 78,140,075.10/6,014.63
  6. Step 6: Final answer
    x = 12,991.68

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.