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Finding the Third Proportional to 30,624 and 46,176

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Solution

The third proportional to 30,624 and 46,176 is: 69,625.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,624 : 46,176 = 46,176 : x
  2. Step 2: Convert to fraction form
    30,624/46,176 = 46,176/x
  3. Step 3: Cross multiply
    30,624x = 46,176 × 46,176
  4. Step 4: Simplify right side
    30,624x = 2,132,222,976
  5. Step 5: Solve for x
    x = 2,132,222,976/30,624
  6. Step 6: Final answer
    x = 69,625.88

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Why These Related Problems?

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