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Finding the Third Proportional to 12,804 and 19,582

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Solution

The third proportional to 12,804 and 19,582 is: 29,948.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,804 : 19,582 = 19,582 : x
  2. Step 2: Convert to fraction form
    12,804/19,582 = 19,582/x
  3. Step 3: Cross multiply
    12,804x = 19,582 × 19,582
  4. Step 4: Simplify right side
    12,804x = 383,454,724
  5. Step 5: Solve for x
    x = 383,454,724/12,804
  6. Step 6: Final answer
    x = 29,948.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.