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Finding the Third Proportional to 26,709 and 58,379.25

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Solution

The third proportional to 26,709 and 58,379.25 is: 127,602.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,709 : 58,379.25 = 58,379.25 : x
  2. Step 2: Convert to fraction form
    26,709/58,379.25 = 58,379.25/x
  3. Step 3: Cross multiply
    26,709x = 58,379.25 × 58,379.25
  4. Step 4: Simplify right side
    26,709x = 3,408,136,830.56
  5. Step 5: Solve for x
    x = 3,408,136,830.56/26,709
  6. Step 6: Final answer
    x = 127,602.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.