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Finding the Third Proportional to 6,307.31 and 9,357.75

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Solution

The third proportional to 6,307.31 and 9,357.75 is: 13,883.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.31 : 9,357.75 = 9,357.75 : x
  2. Step 2: Convert to fraction form
    6,307.31/9,357.75 = 9,357.75/x
  3. Step 3: Cross multiply
    6,307.31x = 9,357.75 × 9,357.75
  4. Step 4: Simplify right side
    6,307.31x = 87,567,485.06
  5. Step 5: Solve for x
    x = 87,567,485.06/6,307.31
  6. Step 6: Final answer
    x = 13,883.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.