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Finding the Third Proportional to 15,663.38 and 19,824.75

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Solution

The third proportional to 15,663.38 and 19,824.75 is: 25,091.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,663.38 : 19,824.75 = 19,824.75 : x
  2. Step 2: Convert to fraction form
    15,663.38/19,824.75 = 19,824.75/x
  3. Step 3: Cross multiply
    15,663.38x = 19,824.75 × 19,824.75
  4. Step 4: Simplify right side
    15,663.38x = 393,020,712.56
  5. Step 5: Solve for x
    x = 393,020,712.56/15,663.38
  6. Step 6: Final answer
    x = 25,091.70

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.