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Finding the Third Proportional to 19,703.25 and 27,712.13

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Solution

The third proportional to 19,703.25 and 27,712.13 is: 38,976.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,703.25 : 27,712.13 = 27,712.13 : x
  2. Step 2: Convert to fraction form
    19,703.25/27,712.13 = 27,712.13/x
  3. Step 3: Cross multiply
    19,703.25x = 27,712.13 × 27,712.13
  4. Step 4: Simplify right side
    19,703.25x = 767,961,872.02
  5. Step 5: Solve for x
    x = 767,961,872.02/19,703.25
  6. Step 6: Final answer
    x = 38,976.41

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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.