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Finding the Third Proportional to 19,874 and 40,658

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Solution

The third proportional to 19,874 and 40,658 is: 83,177.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,874 : 40,658 = 40,658 : x
  2. Step 2: Convert to fraction form
    19,874/40,658 = 40,658/x
  3. Step 3: Cross multiply
    19,874x = 40,658 × 40,658
  4. Step 4: Simplify right side
    19,874x = 1,653,072,964
  5. Step 5: Solve for x
    x = 1,653,072,964/19,874
  6. Step 6: Final answer
    x = 83,177.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.