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Finding the Third Proportional to 27,941.63 and 42,273.56

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Solution

The third proportional to 27,941.63 and 42,273.56 is: 63,956.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,941.63 : 42,273.56 = 42,273.56 : x
  2. Step 2: Convert to fraction form
    27,941.63/42,273.56 = 42,273.56/x
  3. Step 3: Cross multiply
    27,941.63x = 42,273.56 × 42,273.56
  4. Step 4: Simplify right side
    27,941.63x = 1,787,054,086.44
  5. Step 5: Solve for x
    x = 1,787,054,086.44/27,941.63
  6. Step 6: Final answer
    x = 63,956.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.