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Finding the Third Proportional to 19,580 and 27,900

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Solution

The third proportional to 19,580 and 27,900 is: 39,755.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,580 : 27,900 = 27,900 : x
  2. Step 2: Convert to fraction form
    19,580/27,900 = 27,900/x
  3. Step 3: Cross multiply
    19,580x = 27,900 × 27,900
  4. Step 4: Simplify right side
    19,580x = 778,410,000
  5. Step 5: Solve for x
    x = 778,410,000/19,580
  6. Step 6: Final answer
    x = 39,755.36

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.