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Finding the Third Proportional to 25,456 and 54,814

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Solution

The third proportional to 25,456 and 54,814 is: 118,030.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,456 : 54,814 = 54,814 : x
  2. Step 2: Convert to fraction form
    25,456/54,814 = 54,814/x
  3. Step 3: Cross multiply
    25,456x = 54,814 × 54,814
  4. Step 4: Simplify right side
    25,456x = 3,004,574,596
  5. Step 5: Solve for x
    x = 3,004,574,596/25,456
  6. Step 6: Final answer
    x = 118,030.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.