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Finding the Third Proportional to 30,501 and 43,524

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Solution

The third proportional to 30,501 and 43,524 is: 62,107.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,501 : 43,524 = 43,524 : x
  2. Step 2: Convert to fraction form
    30,501/43,524 = 43,524/x
  3. Step 3: Cross multiply
    30,501x = 43,524 × 43,524
  4. Step 4: Simplify right side
    30,501x = 1,894,338,576
  5. Step 5: Solve for x
    x = 1,894,338,576/30,501
  6. Step 6: Final answer
    x = 62,107.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.