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Finding the Third Proportional to 13,344.75 and 21,495.38

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Solution

The third proportional to 13,344.75 and 21,495.38 is: 34,624.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,344.75 : 21,495.38 = 21,495.38 : x
  2. Step 2: Convert to fraction form
    13,344.75/21,495.38 = 21,495.38/x
  3. Step 3: Cross multiply
    13,344.75x = 21,495.38 × 21,495.38
  4. Step 4: Simplify right side
    13,344.75x = 462,051,146.39
  5. Step 5: Solve for x
    x = 462,051,146.39/13,344.75
  6. Step 6: Final answer
    x = 34,624.19

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.