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Finding the Third Proportional to 19,481 and 27,565.50

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Solution

The third proportional to 19,481 and 27,565.50 is: 39,005.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,481 : 27,565.50 = 27,565.50 : x
  2. Step 2: Convert to fraction form
    19,481/27,565.50 = 27,565.50/x
  3. Step 3: Cross multiply
    19,481x = 27,565.50 × 27,565.50
  4. Step 4: Simplify right side
    19,481x = 759,856,790.25
  5. Step 5: Solve for x
    x = 759,856,790.25/19,481
  6. Step 6: Final answer
    x = 39,005.02

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.