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Finding the Third Proportional to 19,458 and 28,903

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Solution

The third proportional to 19,458 and 28,903 is: 42,932.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,458 : 28,903 = 28,903 : x
  2. Step 2: Convert to fraction form
    19,458/28,903 = 28,903/x
  3. Step 3: Cross multiply
    19,458x = 28,903 × 28,903
  4. Step 4: Simplify right side
    19,458x = 835,383,409
  5. Step 5: Solve for x
    x = 835,383,409/19,458
  6. Step 6: Final answer
    x = 42,932.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.