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Finding the Third Proportional to 19,825 and 43,537

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Solution

The third proportional to 19,825 and 43,537 is: 95,610.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,825 : 43,537 = 43,537 : x
  2. Step 2: Convert to fraction form
    19,825/43,537 = 43,537/x
  3. Step 3: Cross multiply
    19,825x = 43,537 × 43,537
  4. Step 4: Simplify right side
    19,825x = 1,895,470,369
  5. Step 5: Solve for x
    x = 1,895,470,369/19,825
  6. Step 6: Final answer
    x = 95,610.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.