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Finding the Third Proportional to 19,538.72 and 26,475.61

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Solution

The third proportional to 19,538.72 and 26,475.61 is: 35,875.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,538.72 : 26,475.61 = 26,475.61 : x
  2. Step 2: Convert to fraction form
    19,538.72/26,475.61 = 26,475.61/x
  3. Step 3: Cross multiply
    19,538.72x = 26,475.61 × 26,475.61
  4. Step 4: Simplify right side
    19,538.72x = 700,957,891.78
  5. Step 5: Solve for x
    x = 700,957,891.78/19,538.72
  6. Step 6: Final answer
    x = 35,875.33

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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.