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Finding the Third Proportional to 19,568.25 and 26,213.63

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Solution

The third proportional to 19,568.25 and 26,213.63 is: 35,115.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,568.25 : 26,213.63 = 26,213.63 : x
  2. Step 2: Convert to fraction form
    19,568.25/26,213.63 = 26,213.63/x
  3. Step 3: Cross multiply
    19,568.25x = 26,213.63 × 26,213.63
  4. Step 4: Simplify right side
    19,568.25x = 687,154,135.64
  5. Step 5: Solve for x
    x = 687,154,135.64/19,568.25
  6. Step 6: Final answer
    x = 35,115.77

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.