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Finding the Third Proportional to 19,212 and 40,737

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Solution

The third proportional to 19,212 and 40,737 is: 86,378.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,212 : 40,737 = 40,737 : x
  2. Step 2: Convert to fraction form
    19,212/40,737 = 40,737/x
  3. Step 3: Cross multiply
    19,212x = 40,737 × 40,737
  4. Step 4: Simplify right side
    19,212x = 1,659,503,169
  5. Step 5: Solve for x
    x = 1,659,503,169/19,212
  6. Step 6: Final answer
    x = 86,378.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.