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Finding the Third Proportional to 23,212 and 51,688

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Solution

The third proportional to 23,212 and 51,688 is: 115,097.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,212 : 51,688 = 51,688 : x
  2. Step 2: Convert to fraction form
    23,212/51,688 = 51,688/x
  3. Step 3: Cross multiply
    23,212x = 51,688 × 51,688
  4. Step 4: Simplify right side
    23,212x = 2,671,649,344
  5. Step 5: Solve for x
    x = 2,671,649,344/23,212
  6. Step 6: Final answer
    x = 115,097.77

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.