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Finding the Third Proportional to 30,592 and 44,704

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Solution

The third proportional to 30,592 and 44,704 is: 65,325.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,592 : 44,704 = 44,704 : x
  2. Step 2: Convert to fraction form
    30,592/44,704 = 44,704/x
  3. Step 3: Cross multiply
    30,592x = 44,704 × 44,704
  4. Step 4: Simplify right side
    30,592x = 1,998,447,616
  5. Step 5: Solve for x
    x = 1,998,447,616/30,592
  6. Step 6: Final answer
    x = 65,325.82

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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.