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Finding the Third Proportional to 11,543.34 and 24,852.23

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Solution

The third proportional to 11,543.34 and 24,852.23 is: 53,505.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.34 : 24,852.23 = 24,852.23 : x
  2. Step 2: Convert to fraction form
    11,543.34/24,852.23 = 24,852.23/x
  3. Step 3: Cross multiply
    11,543.34x = 24,852.23 × 24,852.23
  4. Step 4: Simplify right side
    11,543.34x = 617,633,553.43
  5. Step 5: Solve for x
    x = 617,633,553.43/11,543.34
  6. Step 6: Final answer
    x = 53,505.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.