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Finding the Third Proportional to 26,475 and 58,135

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Solution

The third proportional to 26,475 and 58,135 is: 127,655.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,475 : 58,135 = 58,135 : x
  2. Step 2: Convert to fraction form
    26,475/58,135 = 58,135/x
  3. Step 3: Cross multiply
    26,475x = 58,135 × 58,135
  4. Step 4: Simplify right side
    26,475x = 3,379,678,225
  5. Step 5: Solve for x
    x = 3,379,678,225/26,475
  6. Step 6: Final answer
    x = 127,655.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.