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Finding the Third Proportional to 22,356 and 44,148

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Solution

The third proportional to 22,356 and 44,148 is: 87,182.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,356 : 44,148 = 44,148 : x
  2. Step 2: Convert to fraction form
    22,356/44,148 = 44,148/x
  3. Step 3: Cross multiply
    22,356x = 44,148 × 44,148
  4. Step 4: Simplify right side
    22,356x = 1,949,045,904
  5. Step 5: Solve for x
    x = 1,949,045,904/22,356
  6. Step 6: Final answer
    x = 87,182.23

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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.