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Finding the Third Proportional to 6,874.31 and 10,443.94

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Solution

The third proportional to 6,874.31 and 10,443.94 is: 15,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.31 : 10,443.94 = 10,443.94 : x
  2. Step 2: Convert to fraction form
    6,874.31/10,443.94 = 10,443.94/x
  3. Step 3: Cross multiply
    6,874.31x = 10,443.94 × 10,443.94
  4. Step 4: Simplify right side
    6,874.31x = 109,075,830.50
  5. Step 5: Solve for x
    x = 109,075,830.50/6,874.31
  6. Step 6: Final answer
    x = 15,867.16

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.