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Finding the Third Proportional to 30,723 and 48,984

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Solution

The third proportional to 30,723 and 48,984 is: 78,098.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,723 : 48,984 = 48,984 : x
  2. Step 2: Convert to fraction form
    30,723/48,984 = 48,984/x
  3. Step 3: Cross multiply
    30,723x = 48,984 × 48,984
  4. Step 4: Simplify right side
    30,723x = 2,399,432,256
  5. Step 5: Solve for x
    x = 2,399,432,256/30,723
  6. Step 6: Final answer
    x = 78,098.89

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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.