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Finding the Third Proportional to 19,444 and 28,756

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Solution

The third proportional to 19,444 and 28,756 is: 42,527.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,444 : 28,756 = 28,756 : x
  2. Step 2: Convert to fraction form
    19,444/28,756 = 28,756/x
  3. Step 3: Cross multiply
    19,444x = 28,756 × 28,756
  4. Step 4: Simplify right side
    19,444x = 826,907,536
  5. Step 5: Solve for x
    x = 826,907,536/19,444
  6. Step 6: Final answer
    x = 42,527.65

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.