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Finding the Third Proportional to 15,544 and 30,416

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Solution

The third proportional to 15,544 and 30,416 is: 59,517.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,544 : 30,416 = 30,416 : x
  2. Step 2: Convert to fraction form
    15,544/30,416 = 30,416/x
  3. Step 3: Cross multiply
    15,544x = 30,416 × 30,416
  4. Step 4: Simplify right side
    15,544x = 925,133,056
  5. Step 5: Solve for x
    x = 925,133,056/15,544
  6. Step 6: Final answer
    x = 59,517.05

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.