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Finding the Third Proportional to 30,384 and 48,240

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Solution

The third proportional to 30,384 and 48,240 is: 76,589.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,384 : 48,240 = 48,240 : x
  2. Step 2: Convert to fraction form
    30,384/48,240 = 48,240/x
  3. Step 3: Cross multiply
    30,384x = 48,240 × 48,240
  4. Step 4: Simplify right side
    30,384x = 2,327,097,600
  5. Step 5: Solve for x
    x = 2,327,097,600/30,384
  6. Step 6: Final answer
    x = 76,589.57

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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.