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Finding the Third Proportional to 19,994 and 30,146

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Solution

The third proportional to 19,994 and 30,146 is: 45,452.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,994 : 30,146 = 30,146 : x
  2. Step 2: Convert to fraction form
    19,994/30,146 = 30,146/x
  3. Step 3: Cross multiply
    19,994x = 30,146 × 30,146
  4. Step 4: Simplify right side
    19,994x = 908,781,316
  5. Step 5: Solve for x
    x = 908,781,316/19,994
  6. Step 6: Final answer
    x = 45,452.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.