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Finding the Third Proportional to 13,837 and 19,770

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Solution

The third proportional to 13,837 and 19,770 is: 28,246.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,837 : 19,770 = 19,770 : x
  2. Step 2: Convert to fraction form
    13,837/19,770 = 19,770/x
  3. Step 3: Cross multiply
    13,837x = 19,770 × 19,770
  4. Step 4: Simplify right side
    13,837x = 390,852,900
  5. Step 5: Solve for x
    x = 390,852,900/13,837
  6. Step 6: Final answer
    x = 28,246.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.