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Finding the Third Proportional to 6,700 and 13,562

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Solution

The third proportional to 6,700 and 13,562 is: 27,451.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700 : 13,562 = 13,562 : x
  2. Step 2: Convert to fraction form
    6,700/13,562 = 13,562/x
  3. Step 3: Cross multiply
    6,700x = 13,562 × 13,562
  4. Step 4: Simplify right side
    6,700x = 183,927,844
  5. Step 5: Solve for x
    x = 183,927,844/6,700
  6. Step 6: Final answer
    x = 27,451.92

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.