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Finding the Third Proportional to 10,644.19 and 16,113.66

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Solution

The third proportional to 10,644.19 and 16,113.66 is: 24,393.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.19 : 16,113.66 = 16,113.66 : x
  2. Step 2: Convert to fraction form
    10,644.19/16,113.66 = 16,113.66/x
  3. Step 3: Cross multiply
    10,644.19x = 16,113.66 × 16,113.66
  4. Step 4: Simplify right side
    10,644.19x = 259,649,917.74
  5. Step 5: Solve for x
    x = 259,649,917.74/10,644.19
  6. Step 6: Final answer
    x = 24,393.59

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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.