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Finding the Third Proportional to 14,583 and 22,519

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Solution

The third proportional to 14,583 and 22,519 is: 34,773.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,583 : 22,519 = 22,519 : x
  2. Step 2: Convert to fraction form
    14,583/22,519 = 22,519/x
  3. Step 3: Cross multiply
    14,583x = 22,519 × 22,519
  4. Step 4: Simplify right side
    14,583x = 507,105,361
  5. Step 5: Solve for x
    x = 507,105,361/14,583
  6. Step 6: Final answer
    x = 34,773.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.