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Finding the Third Proportional to 36,026 and 57,552.38

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Solution

The third proportional to 36,026 and 57,552.38 is: 91,941.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,026 : 57,552.38 = 57,552.38 : x
  2. Step 2: Convert to fraction form
    36,026/57,552.38 = 57,552.38/x
  3. Step 3: Cross multiply
    36,026x = 57,552.38 × 57,552.38
  4. Step 4: Simplify right side
    36,026x = 3,312,275,868.14
  5. Step 5: Solve for x
    x = 3,312,275,868.14/36,026
  6. Step 6: Final answer
    x = 91,941.26

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.