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Finding the Third Proportional to 18,584 and 39,764

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Solution

The third proportional to 18,584 and 39,764 is: 85,082.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,584 : 39,764 = 39,764 : x
  2. Step 2: Convert to fraction form
    18,584/39,764 = 39,764/x
  3. Step 3: Cross multiply
    18,584x = 39,764 × 39,764
  4. Step 4: Simplify right side
    18,584x = 1,581,175,696
  5. Step 5: Solve for x
    x = 1,581,175,696/18,584
  6. Step 6: Final answer
    x = 85,082.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.