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Finding the Third Proportional to 30,434 and 48,291

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Solution

The third proportional to 30,434 and 48,291 is: 76,625.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,434 : 48,291 = 48,291 : x
  2. Step 2: Convert to fraction form
    30,434/48,291 = 48,291/x
  3. Step 3: Cross multiply
    30,434x = 48,291 × 48,291
  4. Step 4: Simplify right side
    30,434x = 2,332,020,681
  5. Step 5: Solve for x
    x = 2,332,020,681/30,434
  6. Step 6: Final answer
    x = 76,625.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.