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Finding the Third Proportional to 19,574 and 43,114

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Solution

The third proportional to 19,574 and 43,114 is: 94,963.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,574 : 43,114 = 43,114 : x
  2. Step 2: Convert to fraction form
    19,574/43,114 = 43,114/x
  3. Step 3: Cross multiply
    19,574x = 43,114 × 43,114
  4. Step 4: Simplify right side
    19,574x = 1,858,816,996
  5. Step 5: Solve for x
    x = 1,858,816,996/19,574
  6. Step 6: Final answer
    x = 94,963.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.