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Finding the Third Proportional to 27,186 and 38,284.50

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Solution

The third proportional to 27,186 and 38,284.50 is: 53,913.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,186 : 38,284.50 = 38,284.50 : x
  2. Step 2: Convert to fraction form
    27,186/38,284.50 = 38,284.50/x
  3. Step 3: Cross multiply
    27,186x = 38,284.50 × 38,284.50
  4. Step 4: Simplify right side
    27,186x = 1,465,702,940.25
  5. Step 5: Solve for x
    x = 1,465,702,940.25/27,186
  6. Step 6: Final answer
    x = 53,913.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.