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Finding the Third Proportional to 13,577 and 29,206

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Solution

The third proportional to 13,577 and 29,206 is: 62,826.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,577 : 29,206 = 29,206 : x
  2. Step 2: Convert to fraction form
    13,577/29,206 = 29,206/x
  3. Step 3: Cross multiply
    13,577x = 29,206 × 29,206
  4. Step 4: Simplify right side
    13,577x = 852,990,436
  5. Step 5: Solve for x
    x = 852,990,436/13,577
  6. Step 6: Final answer
    x = 62,826.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.