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Finding the Third Proportional to 19,634 and 30,334

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Solution

The third proportional to 19,634 and 30,334 is: 46,865.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,634 : 30,334 = 30,334 : x
  2. Step 2: Convert to fraction form
    19,634/30,334 = 30,334/x
  3. Step 3: Cross multiply
    19,634x = 30,334 × 30,334
  4. Step 4: Simplify right side
    19,634x = 920,151,556
  5. Step 5: Solve for x
    x = 920,151,556/19,634
  6. Step 6: Final answer
    x = 46,865.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.