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Finding the Third Proportional to 17,820 and 27,246.38

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Solution

The third proportional to 17,820 and 27,246.38 is: 41,659.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,820 : 27,246.38 = 27,246.38 : x
  2. Step 2: Convert to fraction form
    17,820/27,246.38 = 27,246.38/x
  3. Step 3: Cross multiply
    17,820x = 27,246.38 × 27,246.38
  4. Step 4: Simplify right side
    17,820x = 742,364,950.64
  5. Step 5: Solve for x
    x = 742,364,950.64/17,820
  6. Step 6: Final answer
    x = 41,659.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.