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Finding the Third Proportional to 13,184 and 14,496

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Solution

The third proportional to 13,184 and 14,496 is: 15,938.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,184 : 14,496 = 14,496 : x
  2. Step 2: Convert to fraction form
    13,184/14,496 = 14,496/x
  3. Step 3: Cross multiply
    13,184x = 14,496 × 14,496
  4. Step 4: Simplify right side
    13,184x = 210,134,016
  5. Step 5: Solve for x
    x = 210,134,016/13,184
  6. Step 6: Final answer
    x = 15,938.56

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.