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Finding the Third Proportional to 27,072 and 40,074.75

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Solution

The third proportional to 27,072 and 40,074.75 is: 59,322.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,072 : 40,074.75 = 40,074.75 : x
  2. Step 2: Convert to fraction form
    27,072/40,074.75 = 40,074.75/x
  3. Step 3: Cross multiply
    27,072x = 40,074.75 × 40,074.75
  4. Step 4: Simplify right side
    27,072x = 1,605,985,587.56
  5. Step 5: Solve for x
    x = 1,605,985,587.56/27,072
  6. Step 6: Final answer
    x = 59,322.75

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.