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Finding the Third Proportional to 6,742 and 10,297

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Solution

The third proportional to 6,742 and 10,297 is: 15,726.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742 : 10,297 = 10,297 : x
  2. Step 2: Convert to fraction form
    6,742/10,297 = 10,297/x
  3. Step 3: Cross multiply
    6,742x = 10,297 × 10,297
  4. Step 4: Simplify right side
    6,742x = 106,028,209
  5. Step 5: Solve for x
    x = 106,028,209/6,742
  6. Step 6: Final answer
    x = 15,726.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.