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Finding the Third Proportional to 19,477 and 30,077

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Solution

The third proportional to 19,477 and 30,077 is: 46,445.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,477 : 30,077 = 30,077 : x
  2. Step 2: Convert to fraction form
    19,477/30,077 = 30,077/x
  3. Step 3: Cross multiply
    19,477x = 30,077 × 30,077
  4. Step 4: Simplify right side
    19,477x = 904,625,929
  5. Step 5: Solve for x
    x = 904,625,929/19,477
  6. Step 6: Final answer
    x = 46,445.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.