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Finding the Third Proportional to 4,824.75 and 10,522.50

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Solution

The third proportional to 4,824.75 and 10,522.50 is: 22,948.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.75 : 10,522.50 = 10,522.50 : x
  2. Step 2: Convert to fraction form
    4,824.75/10,522.50 = 10,522.50/x
  3. Step 3: Cross multiply
    4,824.75x = 10,522.50 × 10,522.50
  4. Step 4: Simplify right side
    4,824.75x = 110,723,006.25
  5. Step 5: Solve for x
    x = 110,723,006.25/4,824.75
  6. Step 6: Final answer
    x = 22,948.96

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.