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Finding the Third Proportional to 30,723 and 48,852

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Solution

The third proportional to 30,723 and 48,852 is: 77,678.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,723 : 48,852 = 48,852 : x
  2. Step 2: Convert to fraction form
    30,723/48,852 = 48,852/x
  3. Step 3: Cross multiply
    30,723x = 48,852 × 48,852
  4. Step 4: Simplify right side
    30,723x = 2,386,517,904
  5. Step 5: Solve for x
    x = 2,386,517,904/30,723
  6. Step 6: Final answer
    x = 77,678.54

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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.