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Finding the Third Proportional to 6,827.63 and 8,056.13

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Solution

The third proportional to 6,827.63 and 8,056.13 is: 9,505.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.63 : 8,056.13 = 8,056.13 : x
  2. Step 2: Convert to fraction form
    6,827.63/8,056.13 = 8,056.13/x
  3. Step 3: Cross multiply
    6,827.63x = 8,056.13 × 8,056.13
  4. Step 4: Simplify right side
    6,827.63x = 64,901,150.02
  5. Step 5: Solve for x
    x = 64,901,150.02/6,827.63
  6. Step 6: Final answer
    x = 9,505.67

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.