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Finding the Third Proportional to 19,597 and 29,573

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Solution

The third proportional to 19,597 and 29,573 is: 44,627.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,597 : 29,573 = 29,573 : x
  2. Step 2: Convert to fraction form
    19,597/29,573 = 29,573/x
  3. Step 3: Cross multiply
    19,597x = 29,573 × 29,573
  4. Step 4: Simplify right side
    19,597x = 874,562,329
  5. Step 5: Solve for x
    x = 874,562,329/19,597
  6. Step 6: Final answer
    x = 44,627.36

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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.