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Finding the Third Proportional to 27,832.50 and 57,033

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Solution

The third proportional to 27,832.50 and 57,033 is: 116,869.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832.50 : 57,033 = 57,033 : x
  2. Step 2: Convert to fraction form
    27,832.50/57,033 = 57,033/x
  3. Step 3: Cross multiply
    27,832.50x = 57,033 × 57,033
  4. Step 4: Simplify right side
    27,832.50x = 3,252,763,089
  5. Step 5: Solve for x
    x = 3,252,763,089/27,832.50
  6. Step 6: Final answer
    x = 116,869.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.