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Finding the Third Proportional to 38,594 and 83,020

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Solution

The third proportional to 38,594 and 83,020 is: 178,585.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,594 : 83,020 = 83,020 : x
  2. Step 2: Convert to fraction form
    38,594/83,020 = 83,020/x
  3. Step 3: Cross multiply
    38,594x = 83,020 × 83,020
  4. Step 4: Simplify right side
    38,594x = 6,892,320,400
  5. Step 5: Solve for x
    x = 6,892,320,400/38,594
  6. Step 6: Final answer
    x = 178,585.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.