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Finding the Third Proportional to 19,654.13 and 27,721.13

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Solution

The third proportional to 19,654.13 and 27,721.13 is: 39,099.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,654.13 : 27,721.13 = 27,721.13 : x
  2. Step 2: Convert to fraction form
    19,654.13/27,721.13 = 27,721.13/x
  3. Step 3: Cross multiply
    19,654.13x = 27,721.13 × 27,721.13
  4. Step 4: Simplify right side
    19,654.13x = 768,460,771.27
  5. Step 5: Solve for x
    x = 768,460,771.27/19,654.13
  6. Step 6: Final answer
    x = 39,099.21

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1.5x scale

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.