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Finding the Third Proportional to 36,032.25 and 76,742.25

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Solution

The third proportional to 36,032.25 and 76,742.25 is: 163,447.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,032.25 : 76,742.25 = 76,742.25 : x
  2. Step 2: Convert to fraction form
    36,032.25/76,742.25 = 76,742.25/x
  3. Step 3: Cross multiply
    36,032.25x = 76,742.25 × 76,742.25
  4. Step 4: Simplify right side
    36,032.25x = 5,889,372,935.06
  5. Step 5: Solve for x
    x = 5,889,372,935.06/36,032.25
  6. Step 6: Final answer
    x = 163,447.27

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.