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Finding the Third Proportional to 7,664.63 and 16,827.75

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Solution

The third proportional to 7,664.63 and 16,827.75 is: 36,945.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.63 : 16,827.75 = 16,827.75 : x
  2. Step 2: Convert to fraction form
    7,664.63/16,827.75 = 16,827.75/x
  3. Step 3: Cross multiply
    7,664.63x = 16,827.75 × 16,827.75
  4. Step 4: Simplify right side
    7,664.63x = 283,173,170.06
  5. Step 5: Solve for x
    x = 283,173,170.06/7,664.63
  6. Step 6: Final answer
    x = 36,945.47

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.