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Finding the Third Proportional to 18,522.75 and 24,457.75

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Solution

The third proportional to 18,522.75 and 24,457.75 is: 32,294.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,522.75 : 24,457.75 = 24,457.75 : x
  2. Step 2: Convert to fraction form
    18,522.75/24,457.75 = 24,457.75/x
  3. Step 3: Cross multiply
    18,522.75x = 24,457.75 × 24,457.75
  4. Step 4: Simplify right side
    18,522.75x = 598,181,535.06
  5. Step 5: Solve for x
    x = 598,181,535.06/18,522.75
  6. Step 6: Final answer
    x = 32,294.42

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.