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Finding the Third Proportional to 25,054 and 54,482

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Solution

The third proportional to 25,054 and 54,482 is: 118,475.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,054 : 54,482 = 54,482 : x
  2. Step 2: Convert to fraction form
    25,054/54,482 = 54,482/x
  3. Step 3: Cross multiply
    25,054x = 54,482 × 54,482
  4. Step 4: Simplify right side
    25,054x = 2,968,288,324
  5. Step 5: Solve for x
    x = 2,968,288,324/25,054
  6. Step 6: Final answer
    x = 118,475.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.