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Finding the Third Proportional to 13,277 and 29,015

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Solution

The third proportional to 13,277 and 29,015 is: 63,408.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,277 : 29,015 = 29,015 : x
  2. Step 2: Convert to fraction form
    13,277/29,015 = 29,015/x
  3. Step 3: Cross multiply
    13,277x = 29,015 × 29,015
  4. Step 4: Simplify right side
    13,277x = 841,870,225
  5. Step 5: Solve for x
    x = 841,870,225/13,277
  6. Step 6: Final answer
    x = 63,408.17

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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.