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Finding the Third Proportional to 19,370 and 30,723

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Solution

The third proportional to 19,370 and 30,723 is: 48,730.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,370 : 30,723 = 30,723 : x
  2. Step 2: Convert to fraction form
    19,370/30,723 = 30,723/x
  3. Step 3: Cross multiply
    19,370x = 30,723 × 30,723
  4. Step 4: Simplify right side
    19,370x = 943,902,729
  5. Step 5: Solve for x
    x = 943,902,729/19,370
  6. Step 6: Final answer
    x = 48,730.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.