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Finding the Third Proportional to 9,579 and 14,381.63

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Solution

The third proportional to 9,579 and 14,381.63 is: 21,592.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,579 : 14,381.63 = 14,381.63 : x
  2. Step 2: Convert to fraction form
    9,579/14,381.63 = 14,381.63/x
  3. Step 3: Cross multiply
    9,579x = 14,381.63 × 14,381.63
  4. Step 4: Simplify right side
    9,579x = 206,831,137.64
  5. Step 5: Solve for x
    x = 206,831,137.64/9,579
  6. Step 6: Final answer
    x = 21,592.14

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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.