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Finding the Third Proportional to 6,485.25 and 14,654.50

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Solution

The third proportional to 6,485.25 and 14,654.50 is: 33,114.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.25 : 14,654.50 = 14,654.50 : x
  2. Step 2: Convert to fraction form
    6,485.25/14,654.50 = 14,654.50/x
  3. Step 3: Cross multiply
    6,485.25x = 14,654.50 × 14,654.50
  4. Step 4: Simplify right side
    6,485.25x = 214,754,370.25
  5. Step 5: Solve for x
    x = 214,754,370.25/6,485.25
  6. Step 6: Final answer
    x = 33,114.28

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.