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Finding the Third Proportional to 12,576 and 19,582

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Solution

The third proportional to 12,576 and 19,582 is: 30,490.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576 : 19,582 = 19,582 : x
  2. Step 2: Convert to fraction form
    12,576/19,582 = 19,582/x
  3. Step 3: Cross multiply
    12,576x = 19,582 × 19,582
  4. Step 4: Simplify right side
    12,576x = 383,454,724
  5. Step 5: Solve for x
    x = 383,454,724/12,576
  6. Step 6: Final answer
    x = 30,490.99

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.