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Finding the Third Proportional to 12,435.50 and 17,579

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Solution

The third proportional to 12,435.50 and 17,579 is: 24,849.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.50 : 17,579 = 17,579 : x
  2. Step 2: Convert to fraction form
    12,435.50/17,579 = 17,579/x
  3. Step 3: Cross multiply
    12,435.50x = 17,579 × 17,579
  4. Step 4: Simplify right side
    12,435.50x = 309,021,241
  5. Step 5: Solve for x
    x = 309,021,241/12,435.50
  6. Step 6: Final answer
    x = 24,849.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.