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Finding the Third Proportional to 39,828.56 and 86,903.25

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Solution

The third proportional to 39,828.56 and 86,903.25 is: 189,617.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,828.56 : 86,903.25 = 86,903.25 : x
  2. Step 2: Convert to fraction form
    39,828.56/86,903.25 = 86,903.25/x
  3. Step 3: Cross multiply
    39,828.56x = 86,903.25 × 86,903.25
  4. Step 4: Simplify right side
    39,828.56x = 7,552,174,860.56
  5. Step 5: Solve for x
    x = 7,552,174,860.56/39,828.56
  6. Step 6: Final answer
    x = 189,617.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.