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Finding the Third Proportional to 19,850 and 30,708

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Solution

The third proportional to 19,850 and 30,708 is: 47,505.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,850 : 30,708 = 30,708 : x
  2. Step 2: Convert to fraction form
    19,850/30,708 = 30,708/x
  3. Step 3: Cross multiply
    19,850x = 30,708 × 30,708
  4. Step 4: Simplify right side
    19,850x = 942,981,264
  5. Step 5: Solve for x
    x = 942,981,264/19,850
  6. Step 6: Final answer
    x = 47,505.35

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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.