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Finding the Third Proportional to 25,321.36 and 54,971.16

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Solution

The third proportional to 25,321.36 and 54,971.16 is: 119,339.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,321.36 : 54,971.16 = 54,971.16 : x
  2. Step 2: Convert to fraction form
    25,321.36/54,971.16 = 54,971.16/x
  3. Step 3: Cross multiply
    25,321.36x = 54,971.16 × 54,971.16
  4. Step 4: Simplify right side
    25,321.36x = 3,021,828,019.46
  5. Step 5: Solve for x
    x = 3,021,828,019.46/25,321.36
  6. Step 6: Final answer
    x = 119,339.09

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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.