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Finding the Third Proportional to 38,764 and 54,590

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Solution

The third proportional to 38,764 and 54,590 is: 76,877.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,764 : 54,590 = 54,590 : x
  2. Step 2: Convert to fraction form
    38,764/54,590 = 54,590/x
  3. Step 3: Cross multiply
    38,764x = 54,590 × 54,590
  4. Step 4: Simplify right side
    38,764x = 2,980,068,100
  5. Step 5: Solve for x
    x = 2,980,068,100/38,764
  6. Step 6: Final answer
    x = 76,877.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.