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Finding the Third Proportional to 19,601 and 29,582

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Solution

The third proportional to 19,601 and 29,582 is: 44,645.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,601 : 29,582 = 29,582 : x
  2. Step 2: Convert to fraction form
    19,601/29,582 = 29,582/x
  3. Step 3: Cross multiply
    19,601x = 29,582 × 29,582
  4. Step 4: Simplify right side
    19,601x = 875,094,724
  5. Step 5: Solve for x
    x = 875,094,724/19,601
  6. Step 6: Final answer
    x = 44,645.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.