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Finding the Third Proportional to 26,465 and 58,115

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Solution

The third proportional to 26,465 and 58,115 is: 127,615.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,465 : 58,115 = 58,115 : x
  2. Step 2: Convert to fraction form
    26,465/58,115 = 58,115/x
  3. Step 3: Cross multiply
    26,465x = 58,115 × 58,115
  4. Step 4: Simplify right side
    26,465x = 3,377,353,225
  5. Step 5: Solve for x
    x = 3,377,353,225/26,465
  6. Step 6: Final answer
    x = 127,615.84

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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.