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Finding the Third Proportional to 7,914.53 and 14,661.34

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Solution

The third proportional to 7,914.53 and 14,661.34 is: 27,159.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.53 : 14,661.34 = 14,661.34 : x
  2. Step 2: Convert to fraction form
    7,914.53/14,661.34 = 14,661.34/x
  3. Step 3: Cross multiply
    7,914.53x = 14,661.34 × 14,661.34
  4. Step 4: Simplify right side
    7,914.53x = 214,954,778.63
  5. Step 5: Solve for x
    x = 214,954,778.63/7,914.53
  6. Step 6: Final answer
    x = 27,159.52

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These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.