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Finding the Third Proportional to 23,212 and 47,653

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Solution

The third proportional to 23,212 and 47,653 is: 97,829.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,212 : 47,653 = 47,653 : x
  2. Step 2: Convert to fraction form
    23,212/47,653 = 47,653/x
  3. Step 3: Cross multiply
    23,212x = 47,653 × 47,653
  4. Step 4: Simplify right side
    23,212x = 2,270,808,409
  5. Step 5: Solve for x
    x = 2,270,808,409/23,212
  6. Step 6: Final answer
    x = 97,829.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.