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Finding the Third Proportional to 19,782 and 26,424.75

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Solution

The third proportional to 19,782 and 26,424.75 is: 35,298.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782 : 26,424.75 = 26,424.75 : x
  2. Step 2: Convert to fraction form
    19,782/26,424.75 = 26,424.75/x
  3. Step 3: Cross multiply
    19,782x = 26,424.75 × 26,424.75
  4. Step 4: Simplify right side
    19,782x = 698,267,412.56
  5. Step 5: Solve for x
    x = 698,267,412.56/19,782
  6. Step 6: Final answer
    x = 35,298.12

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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.