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Finding the Third Proportional to 12,076 and 22,369

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Solution

The third proportional to 12,076 and 22,369 is: 41,435.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076 : 22,369 = 22,369 : x
  2. Step 2: Convert to fraction form
    12,076/22,369 = 22,369/x
  3. Step 3: Cross multiply
    12,076x = 22,369 × 22,369
  4. Step 4: Simplify right side
    12,076x = 500,372,161
  5. Step 5: Solve for x
    x = 500,372,161/12,076
  6. Step 6: Final answer
    x = 41,435.26

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.