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Finding the Third Proportional to 14,734 and 22,315

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Solution

The third proportional to 14,734 and 22,315 is: 33,796.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,734 : 22,315 = 22,315 : x
  2. Step 2: Convert to fraction form
    14,734/22,315 = 22,315/x
  3. Step 3: Cross multiply
    14,734x = 22,315 × 22,315
  4. Step 4: Simplify right side
    14,734x = 497,959,225
  5. Step 5: Solve for x
    x = 497,959,225/14,734
  6. Step 6: Final answer
    x = 33,796.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.