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Finding the Third Proportional to 19,595 and 29,570

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Solution

The third proportional to 19,595 and 29,570 is: 44,622.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,595 : 29,570 = 29,570 : x
  2. Step 2: Convert to fraction form
    19,595/29,570 = 29,570/x
  3. Step 3: Cross multiply
    19,595x = 29,570 × 29,570
  4. Step 4: Simplify right side
    19,595x = 874,384,900
  5. Step 5: Solve for x
    x = 874,384,900/19,595
  6. Step 6: Final answer
    x = 44,622.86

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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.