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Finding the Third Proportional to 2,884.36 and 6,307.45

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Solution

The third proportional to 2,884.36 and 6,307.45 is: 13,793.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.36 : 6,307.45 = 6,307.45 : x
  2. Step 2: Convert to fraction form
    2,884.36/6,307.45 = 6,307.45/x
  3. Step 3: Cross multiply
    2,884.36x = 6,307.45 × 6,307.45
  4. Step 4: Simplify right side
    2,884.36x = 39,783,964.92
  5. Step 5: Solve for x
    x = 39,783,964.92/2,884.36
  6. Step 6: Final answer
    x = 13,793.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.