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Finding the Third Proportional to 19,090 and 27,536

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Solution

The third proportional to 19,090 and 27,536 is: 39,718.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,090 : 27,536 = 27,536 : x
  2. Step 2: Convert to fraction form
    19,090/27,536 = 27,536/x
  3. Step 3: Cross multiply
    19,090x = 27,536 × 27,536
  4. Step 4: Simplify right side
    19,090x = 758,231,296
  5. Step 5: Solve for x
    x = 758,231,296/19,090
  6. Step 6: Final answer
    x = 39,718.77

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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.