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Finding the Third Proportional to 35,585.50 and 82,371

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Solution

The third proportional to 35,585.50 and 82,371 is: 190,667.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,585.50 : 82,371 = 82,371 : x
  2. Step 2: Convert to fraction form
    35,585.50/82,371 = 82,371/x
  3. Step 3: Cross multiply
    35,585.50x = 82,371 × 82,371
  4. Step 4: Simplify right side
    35,585.50x = 6,784,981,641
  5. Step 5: Solve for x
    x = 6,784,981,641/35,585.50
  6. Step 6: Final answer
    x = 190,667.03

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.