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Finding the Third Proportional to 26,971.50 and 58,671

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Solution

The third proportional to 26,971.50 and 58,671 is: 127,626.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,971.50 : 58,671 = 58,671 : x
  2. Step 2: Convert to fraction form
    26,971.50/58,671 = 58,671/x
  3. Step 3: Cross multiply
    26,971.50x = 58,671 × 58,671
  4. Step 4: Simplify right side
    26,971.50x = 3,442,286,241
  5. Step 5: Solve for x
    x = 3,442,286,241/26,971.50
  6. Step 6: Final answer
    x = 127,626.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.