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Finding the Third Proportional to 19,657 and 30,123

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Solution

The third proportional to 19,657 and 30,123 is: 46,161.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,657 : 30,123 = 30,123 : x
  2. Step 2: Convert to fraction form
    19,657/30,123 = 30,123/x
  3. Step 3: Cross multiply
    19,657x = 30,123 × 30,123
  4. Step 4: Simplify right side
    19,657x = 907,395,129
  5. Step 5: Solve for x
    x = 907,395,129/19,657
  6. Step 6: Final answer
    x = 46,161.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.