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Finding the Third Proportional to 19,590 and 40,830

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Solution

The third proportional to 19,590 and 40,830 is: 85,098.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,590 : 40,830 = 40,830 : x
  2. Step 2: Convert to fraction form
    19,590/40,830 = 40,830/x
  3. Step 3: Cross multiply
    19,590x = 40,830 × 40,830
  4. Step 4: Simplify right side
    19,590x = 1,667,088,900
  5. Step 5: Solve for x
    x = 1,667,088,900/19,590
  6. Step 6: Final answer
    x = 85,098.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.