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Finding the Third Proportional to 12,133 and 26,515

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Solution

The third proportional to 12,133 and 26,515 is: 57,944.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133 : 26,515 = 26,515 : x
  2. Step 2: Convert to fraction form
    12,133/26,515 = 26,515/x
  3. Step 3: Cross multiply
    12,133x = 26,515 × 26,515
  4. Step 4: Simplify right side
    12,133x = 703,045,225
  5. Step 5: Solve for x
    x = 703,045,225/12,133
  6. Step 6: Final answer
    x = 57,944.88

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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.