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Finding the Third Proportional to 19,409 and 30,062

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Solution

The third proportional to 19,409 and 30,062 is: 46,562.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,409 : 30,062 = 30,062 : x
  2. Step 2: Convert to fraction form
    19,409/30,062 = 30,062/x
  3. Step 3: Cross multiply
    19,409x = 30,062 × 30,062
  4. Step 4: Simplify right side
    19,409x = 903,723,844
  5. Step 5: Solve for x
    x = 903,723,844/19,409
  6. Step 6: Final answer
    x = 46,562.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.