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Finding the Third Proportional to 19,660 and 30,488

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Solution

The third proportional to 19,660 and 30,488 is: 47,279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,660 : 30,488 = 30,488 : x
  2. Step 2: Convert to fraction form
    19,660/30,488 = 30,488/x
  3. Step 3: Cross multiply
    19,660x = 30,488 × 30,488
  4. Step 4: Simplify right side
    19,660x = 929,518,144
  5. Step 5: Solve for x
    x = 929,518,144/19,660
  6. Step 6: Final answer
    x = 47,279.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.