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Finding the Third Proportional to 14,364.84 and 31,190.06

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Solution

The third proportional to 14,364.84 and 31,190.06 is: 67,722.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,364.84 : 31,190.06 = 31,190.06 : x
  2. Step 2: Convert to fraction form
    14,364.84/31,190.06 = 31,190.06/x
  3. Step 3: Cross multiply
    14,364.84x = 31,190.06 × 31,190.06
  4. Step 4: Simplify right side
    14,364.84x = 972,819,998.75
  5. Step 5: Solve for x
    x = 972,819,998.75/14,364.84
  6. Step 6: Final answer
    x = 67,722.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.