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Finding the Third Proportional to 11,543.45 and 17,398.23

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Solution

The third proportional to 11,543.45 and 17,398.23 is: 26,222.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.45 : 17,398.23 = 17,398.23 : x
  2. Step 2: Convert to fraction form
    11,543.45/17,398.23 = 17,398.23/x
  3. Step 3: Cross multiply
    11,543.45x = 17,398.23 × 17,398.23
  4. Step 4: Simplify right side
    11,543.45x = 302,698,423.44
  5. Step 5: Solve for x
    x = 302,698,423.44/11,543.45
  6. Step 6: Final answer
    x = 26,222.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.