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Finding the Third Proportional to 19,830 and 30,687

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Solution

The third proportional to 19,830 and 30,687 is: 47,488.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,830 : 30,687 = 30,687 : x
  2. Step 2: Convert to fraction form
    19,830/30,687 = 30,687/x
  3. Step 3: Cross multiply
    19,830x = 30,687 × 30,687
  4. Step 4: Simplify right side
    19,830x = 941,691,969
  5. Step 5: Solve for x
    x = 941,691,969/19,830
  6. Step 6: Final answer
    x = 47,488.25

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