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Finding the Third Proportional to 6,206 and 13,507

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Solution

The third proportional to 6,206 and 13,507 is: 29,397.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206 : 13,507 = 13,507 : x
  2. Step 2: Convert to fraction form
    6,206/13,507 = 13,507/x
  3. Step 3: Cross multiply
    6,206x = 13,507 × 13,507
  4. Step 4: Simplify right side
    6,206x = 182,439,049
  5. Step 5: Solve for x
    x = 182,439,049/6,206
  6. Step 6: Final answer
    x = 29,397.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.