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Finding the Third Proportional to 19,212 and 22,380

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Solution

The third proportional to 19,212 and 22,380 is: 26,070.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,212 : 22,380 = 22,380 : x
  2. Step 2: Convert to fraction form
    19,212/22,380 = 22,380/x
  3. Step 3: Cross multiply
    19,212x = 22,380 × 22,380
  4. Step 4: Simplify right side
    19,212x = 500,864,400
  5. Step 5: Solve for x
    x = 500,864,400/19,212
  6. Step 6: Final answer
    x = 26,070.39

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.