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Finding the Third Proportional to 12,141 and 16,403

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Solution

The third proportional to 12,141 and 16,403 is: 22,161.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141 : 16,403 = 16,403 : x
  2. Step 2: Convert to fraction form
    12,141/16,403 = 16,403/x
  3. Step 3: Cross multiply
    12,141x = 16,403 × 16,403
  4. Step 4: Simplify right side
    12,141x = 269,058,409
  5. Step 5: Solve for x
    x = 269,058,409/12,141
  6. Step 6: Final answer
    x = 22,161.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.