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Finding the Third Proportional to 6,935.63 and 10,033.88

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Solution

The third proportional to 6,935.63 and 10,033.88 is: 14,516.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.63 : 10,033.88 = 10,033.88 : x
  2. Step 2: Convert to fraction form
    6,935.63/10,033.88 = 10,033.88/x
  3. Step 3: Cross multiply
    6,935.63x = 10,033.88 × 10,033.88
  4. Step 4: Simplify right side
    6,935.63x = 100,678,647.52
  5. Step 5: Solve for x
    x = 100,678,647.52/6,935.63
  6. Step 6: Final answer
    x = 14,516.16

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.