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Finding the Third Proportional to 30,672 and 48,060

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Solution

The third proportional to 30,672 and 48,060 is: 75,305.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,672 : 48,060 = 48,060 : x
  2. Step 2: Convert to fraction form
    30,672/48,060 = 48,060/x
  3. Step 3: Cross multiply
    30,672x = 48,060 × 48,060
  4. Step 4: Simplify right side
    30,672x = 2,309,763,600
  5. Step 5: Solve for x
    x = 2,309,763,600/30,672
  6. Step 6: Final answer
    x = 75,305.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.