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Finding the Third Proportional to 52,021 and 82,784

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Solution

The third proportional to 52,021 and 82,784 is: 131,738.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,021 : 82,784 = 82,784 : x
  2. Step 2: Convert to fraction form
    52,021/82,784 = 82,784/x
  3. Step 3: Cross multiply
    52,021x = 82,784 × 82,784
  4. Step 4: Simplify right side
    52,021x = 6,853,190,656
  5. Step 5: Solve for x
    x = 6,853,190,656/52,021
  6. Step 6: Final answer
    x = 131,738.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.