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Finding the Third Proportional to 6,384.75 and 7,005.75

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Solution

The third proportional to 6,384.75 and 7,005.75 is: 7,687.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.75 : 7,005.75 = 7,005.75 : x
  2. Step 2: Convert to fraction form
    6,384.75/7,005.75 = 7,005.75/x
  3. Step 3: Cross multiply
    6,384.75x = 7,005.75 × 7,005.75
  4. Step 4: Simplify right side
    6,384.75x = 49,080,533.06
  5. Step 5: Solve for x
    x = 49,080,533.06/6,384.75
  6. Step 6: Final answer
    x = 7,687.15

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.