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Finding the Third Proportional to 30,474 and 44,808

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Solution

The third proportional to 30,474 and 44,808 is: 65,884.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,474 : 44,808 = 44,808 : x
  2. Step 2: Convert to fraction form
    30,474/44,808 = 44,808/x
  3. Step 3: Cross multiply
    30,474x = 44,808 × 44,808
  4. Step 4: Simplify right side
    30,474x = 2,007,756,864
  5. Step 5: Solve for x
    x = 2,007,756,864/30,474
  6. Step 6: Final answer
    x = 65,884.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.