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Finding the Third Proportional to 36,288 and 56,073.38

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Solution

The third proportional to 36,288 and 56,073.38 is: 86,646.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,288 : 56,073.38 = 56,073.38 : x
  2. Step 2: Convert to fraction form
    36,288/56,073.38 = 56,073.38/x
  3. Step 3: Cross multiply
    36,288x = 56,073.38 × 56,073.38
  4. Step 4: Simplify right side
    36,288x = 3,144,223,383.89
  5. Step 5: Solve for x
    x = 3,144,223,383.89/36,288
  6. Step 6: Final answer
    x = 86,646.37

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.