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Finding the Third Proportional to 19,704 and 29,576

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Solution

The third proportional to 19,704 and 29,576 is: 44,394.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,704 : 29,576 = 29,576 : x
  2. Step 2: Convert to fraction form
    19,704/29,576 = 29,576/x
  3. Step 3: Cross multiply
    19,704x = 29,576 × 29,576
  4. Step 4: Simplify right side
    19,704x = 874,739,776
  5. Step 5: Solve for x
    x = 874,739,776/19,704
  6. Step 6: Final answer
    x = 44,394.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.