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Finding the Third Proportional to 27,207 and 58,950

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Solution

The third proportional to 27,207 and 58,950 is: 127,728.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,207 : 58,950 = 58,950 : x
  2. Step 2: Convert to fraction form
    27,207/58,950 = 58,950/x
  3. Step 3: Cross multiply
    27,207x = 58,950 × 58,950
  4. Step 4: Simplify right side
    27,207x = 3,475,102,500
  5. Step 5: Solve for x
    x = 3,475,102,500/27,207
  6. Step 6: Final answer
    x = 127,728.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.