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Finding the Third Proportional to 19,397 and 29,660

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Solution

The third proportional to 19,397 and 29,660 is: 45,353.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,397 : 29,660 = 29,660 : x
  2. Step 2: Convert to fraction form
    19,397/29,660 = 29,660/x
  3. Step 3: Cross multiply
    19,397x = 29,660 × 29,660
  4. Step 4: Simplify right side
    19,397x = 879,715,600
  5. Step 5: Solve for x
    x = 879,715,600/19,397
  6. Step 6: Final answer
    x = 45,353.18

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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.