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Finding the Third Proportional to 6,004.50 and 13,896

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Solution

The third proportional to 6,004.50 and 13,896 is: 32,159.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,004.50 : 13,896 = 13,896 : x
  2. Step 2: Convert to fraction form
    6,004.50/13,896 = 13,896/x
  3. Step 3: Cross multiply
    6,004.50x = 13,896 × 13,896
  4. Step 4: Simplify right side
    6,004.50x = 193,098,816
  5. Step 5: Solve for x
    x = 193,098,816/6,004.50
  6. Step 6: Final answer
    x = 32,159.02

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.