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Finding the Third Proportional to 14,130 and 22,049

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Solution

The third proportional to 14,130 and 22,049 is: 34,406.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,130 : 22,049 = 22,049 : x
  2. Step 2: Convert to fraction form
    14,130/22,049 = 22,049/x
  3. Step 3: Cross multiply
    14,130x = 22,049 × 22,049
  4. Step 4: Simplify right side
    14,130x = 486,158,401
  5. Step 5: Solve for x
    x = 486,158,401/14,130
  6. Step 6: Final answer
    x = 34,406.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.