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Finding the Third Proportional to 25,752 and 54,271

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Solution

The third proportional to 25,752 and 54,271 is: 114,373.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,752 : 54,271 = 54,271 : x
  2. Step 2: Convert to fraction form
    25,752/54,271 = 54,271/x
  3. Step 3: Cross multiply
    25,752x = 54,271 × 54,271
  4. Step 4: Simplify right side
    25,752x = 2,945,341,441
  5. Step 5: Solve for x
    x = 2,945,341,441/25,752
  6. Step 6: Final answer
    x = 114,373.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.