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Finding the Third Proportional to 13,467 and 14,403

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Solution

The third proportional to 13,467 and 14,403 is: 15,404.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,467 : 14,403 = 14,403 : x
  2. Step 2: Convert to fraction form
    13,467/14,403 = 14,403/x
  3. Step 3: Cross multiply
    13,467x = 14,403 × 14,403
  4. Step 4: Simplify right side
    13,467x = 207,446,409
  5. Step 5: Solve for x
    x = 207,446,409/13,467
  6. Step 6: Final answer
    x = 15,404.06

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.