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Finding the Third Proportional to 27,050 and 58,696

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Solution

The third proportional to 27,050 and 58,696 is: 127,364.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,050 : 58,696 = 58,696 : x
  2. Step 2: Convert to fraction form
    27,050/58,696 = 58,696/x
  3. Step 3: Cross multiply
    27,050x = 58,696 × 58,696
  4. Step 4: Simplify right side
    27,050x = 3,445,220,416
  5. Step 5: Solve for x
    x = 3,445,220,416/27,050
  6. Step 6: Final answer
    x = 127,364.90

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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.