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Finding the Third Proportional to 27,024 and 58,209

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Solution

The third proportional to 27,024 and 58,209 is: 125,380.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,024 : 58,209 = 58,209 : x
  2. Step 2: Convert to fraction form
    27,024/58,209 = 58,209/x
  3. Step 3: Cross multiply
    27,024x = 58,209 × 58,209
  4. Step 4: Simplify right side
    27,024x = 3,388,287,681
  5. Step 5: Solve for x
    x = 3,388,287,681/27,024
  6. Step 6: Final answer
    x = 125,380.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.