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Finding the Third Proportional to 19,469 and 27,840

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Solution

The third proportional to 19,469 and 27,840 is: 39,810.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,469 : 27,840 = 27,840 : x
  2. Step 2: Convert to fraction form
    19,469/27,840 = 27,840/x
  3. Step 3: Cross multiply
    19,469x = 27,840 × 27,840
  4. Step 4: Simplify right side
    19,469x = 775,065,600
  5. Step 5: Solve for x
    x = 775,065,600/19,469
  6. Step 6: Final answer
    x = 39,810.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.