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Finding the Third Proportional to 2,917.69 and 6,316.31

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Solution

The third proportional to 2,917.69 and 6,316.31 is: 13,673.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917.69 : 6,316.31 = 6,316.31 : x
  2. Step 2: Convert to fraction form
    2,917.69/6,316.31 = 6,316.31/x
  3. Step 3: Cross multiply
    2,917.69x = 6,316.31 × 6,316.31
  4. Step 4: Simplify right side
    2,917.69x = 39,895,803.60
  5. Step 5: Solve for x
    x = 39,895,803.60/2,917.69
  6. Step 6: Final answer
    x = 13,673.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.