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Finding the Third Proportional to 7,914.75 and 17,679

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Solution

The third proportional to 7,914.75 and 17,679 is: 39,489.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.75 : 17,679 = 17,679 : x
  2. Step 2: Convert to fraction form
    7,914.75/17,679 = 17,679/x
  3. Step 3: Cross multiply
    7,914.75x = 17,679 × 17,679
  4. Step 4: Simplify right side
    7,914.75x = 312,547,041
  5. Step 5: Solve for x
    x = 312,547,041/7,914.75
  6. Step 6: Final answer
    x = 39,489.19

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.