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Finding the Third Proportional to 27,942.66 and 42,275.16

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Solution

The third proportional to 27,942.66 and 42,275.16 is: 63,959.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,942.66 : 42,275.16 = 42,275.16 : x
  2. Step 2: Convert to fraction form
    27,942.66/42,275.16 = 42,275.16/x
  3. Step 3: Cross multiply
    27,942.66x = 42,275.16 × 42,275.16
  4. Step 4: Simplify right side
    27,942.66x = 1,787,188,835.96
  5. Step 5: Solve for x
    x = 1,787,188,835.96/27,942.66
  6. Step 6: Final answer
    x = 63,959.16

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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.