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Finding the Third Proportional to 19,758 and 26,613

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Solution

The third proportional to 19,758 and 26,613 is: 35,846.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,758 : 26,613 = 26,613 : x
  2. Step 2: Convert to fraction form
    19,758/26,613 = 26,613/x
  3. Step 3: Cross multiply
    19,758x = 26,613 × 26,613
  4. Step 4: Simplify right side
    19,758x = 708,251,769
  5. Step 5: Solve for x
    x = 708,251,769/19,758
  6. Step 6: Final answer
    x = 35,846.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.