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Finding the Third Proportional to 14,401 and 22,215

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Solution

The third proportional to 14,401 and 22,215 is: 34,268.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,401 : 22,215 = 22,215 : x
  2. Step 2: Convert to fraction form
    14,401/22,215 = 22,215/x
  3. Step 3: Cross multiply
    14,401x = 22,215 × 22,215
  4. Step 4: Simplify right side
    14,401x = 493,506,225
  5. Step 5: Solve for x
    x = 493,506,225/14,401
  6. Step 6: Final answer
    x = 34,268.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.