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Finding the Third Proportional to 19,274.63 and 30,756.94

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Solution

The third proportional to 19,274.63 and 30,756.94 is: 49,079.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,274.63 : 30,756.94 = 30,756.94 : x
  2. Step 2: Convert to fraction form
    19,274.63/30,756.94 = 30,756.94/x
  3. Step 3: Cross multiply
    19,274.63x = 30,756.94 × 30,756.94
  4. Step 4: Simplify right side
    19,274.63x = 945,989,204.38
  5. Step 5: Solve for x
    x = 945,989,204.38/19,274.63
  6. Step 6: Final answer
    x = 49,079.51

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.