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Finding the Third Proportional to 6,427.31 and 9,709.31

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Solution

The third proportional to 6,427.31 and 9,709.31 is: 14,667.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.31 : 9,709.31 = 9,709.31 : x
  2. Step 2: Convert to fraction form
    6,427.31/9,709.31 = 9,709.31/x
  3. Step 3: Cross multiply
    6,427.31x = 9,709.31 × 9,709.31
  4. Step 4: Simplify right side
    6,427.31x = 94,270,749.22
  5. Step 5: Solve for x
    x = 94,270,749.22/6,427.31
  6. Step 6: Final answer
    x = 14,667.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.