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Finding the Third Proportional to 19,608.75 and 25,471.13

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Solution

The third proportional to 19,608.75 and 25,471.13 is: 33,086.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,608.75 : 25,471.13 = 25,471.13 : x
  2. Step 2: Convert to fraction form
    19,608.75/25,471.13 = 25,471.13/x
  3. Step 3: Cross multiply
    19,608.75x = 25,471.13 × 25,471.13
  4. Step 4: Simplify right side
    19,608.75x = 648,778,208.77
  5. Step 5: Solve for x
    x = 648,778,208.77/19,608.75
  6. Step 6: Final answer
    x = 33,086.16

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.