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Finding the Third Proportional to 26,838 and 72,441

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Solution

The third proportional to 26,838 and 72,441 is: 195,532.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,838 : 72,441 = 72,441 : x
  2. Step 2: Convert to fraction form
    26,838/72,441 = 72,441/x
  3. Step 3: Cross multiply
    26,838x = 72,441 × 72,441
  4. Step 4: Simplify right side
    26,838x = 5,247,698,481
  5. Step 5: Solve for x
    x = 5,247,698,481/26,838
  6. Step 6: Final answer
    x = 195,532.40

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.