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Finding the Third Proportional to 30,024 and 46,404

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Solution

The third proportional to 30,024 and 46,404 is: 71,720.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,024 : 46,404 = 46,404 : x
  2. Step 2: Convert to fraction form
    30,024/46,404 = 46,404/x
  3. Step 3: Cross multiply
    30,024x = 46,404 × 46,404
  4. Step 4: Simplify right side
    30,024x = 2,153,331,216
  5. Step 5: Solve for x
    x = 2,153,331,216/30,024
  6. Step 6: Final answer
    x = 71,720.33

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