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Finding the Third Proportional to 27,970.88 and 54,524.25

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Solution

The third proportional to 27,970.88 and 54,524.25 is: 106,285.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,970.88 : 54,524.25 = 54,524.25 : x
  2. Step 2: Convert to fraction form
    27,970.88/54,524.25 = 54,524.25/x
  3. Step 3: Cross multiply
    27,970.88x = 54,524.25 × 54,524.25
  4. Step 4: Simplify right side
    27,970.88x = 2,972,893,838.06
  5. Step 5: Solve for x
    x = 2,972,893,838.06/27,970.88
  6. Step 6: Final answer
    x = 106,285.34

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.