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Finding the Third Proportional to 6,546 and 10,858.50

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Solution

The third proportional to 6,546 and 10,858.50 is: 18,012.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546 : 10,858.50 = 10,858.50 : x
  2. Step 2: Convert to fraction form
    6,546/10,858.50 = 10,858.50/x
  3. Step 3: Cross multiply
    6,546x = 10,858.50 × 10,858.50
  4. Step 4: Simplify right side
    6,546x = 117,907,022.25
  5. Step 5: Solve for x
    x = 117,907,022.25/6,546
  6. Step 6: Final answer
    x = 18,012.07

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.