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Finding the Third Proportional to 18,854 and 42,923

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Solution

The third proportional to 18,854 and 42,923 is: 97,718.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,854 : 42,923 = 42,923 : x
  2. Step 2: Convert to fraction form
    18,854/42,923 = 42,923/x
  3. Step 3: Cross multiply
    18,854x = 42,923 × 42,923
  4. Step 4: Simplify right side
    18,854x = 1,842,383,929
  5. Step 5: Solve for x
    x = 1,842,383,929/18,854
  6. Step 6: Final answer
    x = 97,718.46

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.