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Finding the Third Proportional to 30,720 and 44,992

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Solution

The third proportional to 30,720 and 44,992 is: 65,894.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,720 : 44,992 = 44,992 : x
  2. Step 2: Convert to fraction form
    30,720/44,992 = 44,992/x
  3. Step 3: Cross multiply
    30,720x = 44,992 × 44,992
  4. Step 4: Simplify right side
    30,720x = 2,024,280,064
  5. Step 5: Solve for x
    x = 2,024,280,064/30,720
  6. Step 6: Final answer
    x = 65,894.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.