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Finding the Third Proportional to 10,734 and 14,370

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Solution

The third proportional to 10,734 and 14,370 is: 19,237.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,734 : 14,370 = 14,370 : x
  2. Step 2: Convert to fraction form
    10,734/14,370 = 14,370/x
  3. Step 3: Cross multiply
    10,734x = 14,370 × 14,370
  4. Step 4: Simplify right side
    10,734x = 206,496,900
  5. Step 5: Solve for x
    x = 206,496,900/10,734
  6. Step 6: Final answer
    x = 19,237.65

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.