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Finding the Third Proportional to 19,564.88 and 31,500.56

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Solution

The third proportional to 19,564.88 and 31,500.56 is: 50,717.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,564.88 : 31,500.56 = 31,500.56 : x
  2. Step 2: Convert to fraction form
    19,564.88/31,500.56 = 31,500.56/x
  3. Step 3: Cross multiply
    19,564.88x = 31,500.56 × 31,500.56
  4. Step 4: Simplify right side
    19,564.88x = 992,285,437.82
  5. Step 5: Solve for x
    x = 992,285,437.82/19,564.88
  6. Step 6: Final answer
    x = 50,717.70

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.