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Finding the Third Proportional to 14,373.75 and 31,419.25

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Solution

The third proportional to 14,373.75 and 31,419.25 is: 68,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,373.75 : 31,419.25 = 31,419.25 : x
  2. Step 2: Convert to fraction form
    14,373.75/31,419.25 = 31,419.25/x
  3. Step 3: Cross multiply
    14,373.75x = 31,419.25 × 31,419.25
  4. Step 4: Simplify right side
    14,373.75x = 987,169,270.56
  5. Step 5: Solve for x
    x = 987,169,270.56/14,373.75
  6. Step 6: Final answer
    x = 68,678.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.