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Finding the Third Proportional to 22,305 and 44,046

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Solution

The third proportional to 22,305 and 44,046 is: 86,978.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,305 : 44,046 = 44,046 : x
  2. Step 2: Convert to fraction form
    22,305/44,046 = 44,046/x
  3. Step 3: Cross multiply
    22,305x = 44,046 × 44,046
  4. Step 4: Simplify right side
    22,305x = 1,940,050,116
  5. Step 5: Solve for x
    x = 1,940,050,116/22,305
  6. Step 6: Final answer
    x = 86,978.26

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.