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Finding the Third Proportional to 38,354 and 51,819

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Solution

The third proportional to 38,354 and 51,819 is: 70,011.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,354 : 51,819 = 51,819 : x
  2. Step 2: Convert to fraction form
    38,354/51,819 = 51,819/x
  3. Step 3: Cross multiply
    38,354x = 51,819 × 51,819
  4. Step 4: Simplify right side
    38,354x = 2,685,208,761
  5. Step 5: Solve for x
    x = 2,685,208,761/38,354
  6. Step 6: Final answer
    x = 70,011.18

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.