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Finding the Third Proportional to 19,469 and 31,365

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Solution

The third proportional to 19,469 and 31,365 is: 50,529.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,469 : 31,365 = 31,365 : x
  2. Step 2: Convert to fraction form
    19,469/31,365 = 31,365/x
  3. Step 3: Cross multiply
    19,469x = 31,365 × 31,365
  4. Step 4: Simplify right side
    19,469x = 983,763,225
  5. Step 5: Solve for x
    x = 983,763,225/19,469
  6. Step 6: Final answer
    x = 50,529.73

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.