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Finding the Third Proportional to 5,423 and 11,824.50

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Solution

The third proportional to 5,423 and 11,824.50 is: 25,782.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,423 : 11,824.50 = 11,824.50 : x
  2. Step 2: Convert to fraction form
    5,423/11,824.50 = 11,824.50/x
  3. Step 3: Cross multiply
    5,423x = 11,824.50 × 11,824.50
  4. Step 4: Simplify right side
    5,423x = 139,818,800.25
  5. Step 5: Solve for x
    x = 139,818,800.25/5,423
  6. Step 6: Final answer
    x = 25,782.56

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Why These Related Problems?

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