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Finding the Third Proportional to 27,942.25 and 42,274.25

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Solution

The third proportional to 27,942.25 and 42,274.25 is: 63,957.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,942.25 : 42,274.25 = 42,274.25 : x
  2. Step 2: Convert to fraction form
    27,942.25/42,274.25 = 42,274.25/x
  3. Step 3: Cross multiply
    27,942.25x = 42,274.25 × 42,274.25
  4. Step 4: Simplify right side
    27,942.25x = 1,787,112,213.06
  5. Step 5: Solve for x
    x = 1,787,112,213.06/27,942.25
  6. Step 6: Final answer
    x = 63,957.35

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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.