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Finding the Third Proportional to 6,007.50 and 7,827.75

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Solution

The third proportional to 6,007.50 and 7,827.75 is: 10,199.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007.50 : 7,827.75 = 7,827.75 : x
  2. Step 2: Convert to fraction form
    6,007.50/7,827.75 = 7,827.75/x
  3. Step 3: Cross multiply
    6,007.50x = 7,827.75 × 7,827.75
  4. Step 4: Simplify right side
    6,007.50x = 61,273,670.06
  5. Step 5: Solve for x
    x = 61,273,670.06/6,007.50
  6. Step 6: Final answer
    x = 10,199.53

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.