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Finding the Third Proportional to 6,742 and 14,507

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Solution

The third proportional to 6,742 and 14,507 is: 31,215.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742 : 14,507 = 14,507 : x
  2. Step 2: Convert to fraction form
    6,742/14,507 = 14,507/x
  3. Step 3: Cross multiply
    6,742x = 14,507 × 14,507
  4. Step 4: Simplify right side
    6,742x = 210,453,049
  5. Step 5: Solve for x
    x = 210,453,049/6,742
  6. Step 6: Final answer
    x = 31,215.23

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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.