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Finding the Third Proportional to 25,450 and 55,418

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Solution

The third proportional to 25,450 and 55,418 is: 120,674.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,450 : 55,418 = 55,418 : x
  2. Step 2: Convert to fraction form
    25,450/55,418 = 55,418/x
  3. Step 3: Cross multiply
    25,450x = 55,418 × 55,418
  4. Step 4: Simplify right side
    25,450x = 3,071,154,724
  5. Step 5: Solve for x
    x = 3,071,154,724/25,450
  6. Step 6: Final answer
    x = 120,674.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.