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Finding the Third Proportional to 6,304.08 and 8,835.01

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Solution

The third proportional to 6,304.08 and 8,835.01 is: 12,382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.08 : 8,835.01 = 8,835.01 : x
  2. Step 2: Convert to fraction form
    6,304.08/8,835.01 = 8,835.01/x
  3. Step 3: Cross multiply
    6,304.08x = 8,835.01 × 8,835.01
  4. Step 4: Simplify right side
    6,304.08x = 78,057,432.07
  5. Step 5: Solve for x
    x = 78,057,432.07/6,304.08
  6. Step 6: Final answer
    x = 12,382.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.