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Finding the Third Proportional to 38,104 and 83,570

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Solution

The third proportional to 38,104 and 83,570 is: 183,286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,104 : 83,570 = 83,570 : x
  2. Step 2: Convert to fraction form
    38,104/83,570 = 83,570/x
  3. Step 3: Cross multiply
    38,104x = 83,570 × 83,570
  4. Step 4: Simplify right side
    38,104x = 6,983,944,900
  5. Step 5: Solve for x
    x = 6,983,944,900/38,104
  6. Step 6: Final answer
    x = 183,286.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.