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Finding the Third Proportional to 10,303.50 and 27,933

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Solution

The third proportional to 10,303.50 and 27,933 is: 75,726.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303.50 : 27,933 = 27,933 : x
  2. Step 2: Convert to fraction form
    10,303.50/27,933 = 27,933/x
  3. Step 3: Cross multiply
    10,303.50x = 27,933 × 27,933
  4. Step 4: Simplify right side
    10,303.50x = 780,252,489
  5. Step 5: Solve for x
    x = 780,252,489/10,303.50
  6. Step 6: Final answer
    x = 75,726.94

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.