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Finding the Third Proportional to 30,144 and 43,464

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Solution

The third proportional to 30,144 and 43,464 is: 62,669.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,144 : 43,464 = 43,464 : x
  2. Step 2: Convert to fraction form
    30,144/43,464 = 43,464/x
  3. Step 3: Cross multiply
    30,144x = 43,464 × 43,464
  4. Step 4: Simplify right side
    30,144x = 1,889,119,296
  5. Step 5: Solve for x
    x = 1,889,119,296/30,144
  6. Step 6: Final answer
    x = 62,669.83

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.