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Finding the Third Proportional to 21,503 and 32,579

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Solution

The third proportional to 21,503 and 32,579 is: 49,360.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,503 : 32,579 = 32,579 : x
  2. Step 2: Convert to fraction form
    21,503/32,579 = 32,579/x
  3. Step 3: Cross multiply
    21,503x = 32,579 × 32,579
  4. Step 4: Simplify right side
    21,503x = 1,061,391,241
  5. Step 5: Solve for x
    x = 1,061,391,241/21,503
  6. Step 6: Final answer
    x = 49,360.15

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.