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Finding the Third Proportional to 6,000.75 and 6,848.25

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Solution

The third proportional to 6,000.75 and 6,848.25 is: 7,815.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.75 : 6,848.25 = 6,848.25 : x
  2. Step 2: Convert to fraction form
    6,000.75/6,848.25 = 6,848.25/x
  3. Step 3: Cross multiply
    6,000.75x = 6,848.25 × 6,848.25
  4. Step 4: Simplify right side
    6,000.75x = 46,898,528.06
  5. Step 5: Solve for x
    x = 46,898,528.06/6,000.75
  6. Step 6: Final answer
    x = 7,815.44

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.