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Finding the Third Proportional to 30,424 and 46,744

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Solution

The third proportional to 30,424 and 46,744 is: 71,818.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,424 : 46,744 = 46,744 : x
  2. Step 2: Convert to fraction form
    30,424/46,744 = 46,744/x
  3. Step 3: Cross multiply
    30,424x = 46,744 × 46,744
  4. Step 4: Simplify right side
    30,424x = 2,185,001,536
  5. Step 5: Solve for x
    x = 2,185,001,536/30,424
  6. Step 6: Final answer
    x = 71,818.35

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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.