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Finding the Third Proportional to 19,064 and 27,502

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Solution

The third proportional to 19,064 and 27,502 is: 39,674.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,064 : 27,502 = 27,502 : x
  2. Step 2: Convert to fraction form
    19,064/27,502 = 27,502/x
  3. Step 3: Cross multiply
    19,064x = 27,502 × 27,502
  4. Step 4: Simplify right side
    19,064x = 756,360,004
  5. Step 5: Solve for x
    x = 756,360,004/19,064
  6. Step 6: Final answer
    x = 39,674.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.