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Finding the Third Proportional to 12,076 and 16,454

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Solution

The third proportional to 12,076 and 16,454 is: 22,419.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076 : 16,454 = 16,454 : x
  2. Step 2: Convert to fraction form
    12,076/16,454 = 16,454/x
  3. Step 3: Cross multiply
    12,076x = 16,454 × 16,454
  4. Step 4: Simplify right side
    12,076x = 270,734,116
  5. Step 5: Solve for x
    x = 270,734,116/12,076
  6. Step 6: Final answer
    x = 22,419.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.