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Finding the Third Proportional to 27,429 and 36,769.50

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Solution

The third proportional to 27,429 and 36,769.50 is: 49,290.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,429 : 36,769.50 = 36,769.50 : x
  2. Step 2: Convert to fraction form
    27,429/36,769.50 = 36,769.50/x
  3. Step 3: Cross multiply
    27,429x = 36,769.50 × 36,769.50
  4. Step 4: Simplify right side
    27,429x = 1,351,996,130.25
  5. Step 5: Solve for x
    x = 1,351,996,130.25/27,429
  6. Step 6: Final answer
    x = 49,290.76

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.