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Finding the Third Proportional to 9,026.50 and 13,579

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Solution

The third proportional to 9,026.50 and 13,579 is: 20,427.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,026.50 : 13,579 = 13,579 : x
  2. Step 2: Convert to fraction form
    9,026.50/13,579 = 13,579/x
  3. Step 3: Cross multiply
    9,026.50x = 13,579 × 13,579
  4. Step 4: Simplify right side
    9,026.50x = 184,389,241
  5. Step 5: Solve for x
    x = 184,389,241/9,026.50
  6. Step 6: Final answer
    x = 20,427.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.