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Finding the Third Proportional to 19,824.19 and 26,910.56

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Solution

The third proportional to 19,824.19 and 26,910.56 is: 36,530.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,824.19 : 26,910.56 = 26,910.56 : x
  2. Step 2: Convert to fraction form
    19,824.19/26,910.56 = 26,910.56/x
  3. Step 3: Cross multiply
    19,824.19x = 26,910.56 × 26,910.56
  4. Step 4: Simplify right side
    19,824.19x = 724,178,374.07
  5. Step 5: Solve for x
    x = 724,178,374.07/19,824.19
  6. Step 6: Final answer
    x = 36,530.04

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.