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Finding the Third Proportional to 19,728.56 and 30,663.56

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Solution

The third proportional to 19,728.56 and 30,663.56 is: 47,659.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,728.56 : 30,663.56 = 30,663.56 : x
  2. Step 2: Convert to fraction form
    19,728.56/30,663.56 = 30,663.56/x
  3. Step 3: Cross multiply
    19,728.56x = 30,663.56 × 30,663.56
  4. Step 4: Simplify right side
    19,728.56x = 940,254,065.19
  5. Step 5: Solve for x
    x = 940,254,065.19/19,728.56
  6. Step 6: Final answer
    x = 47,659.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.