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Finding the Third Proportional to 19,663.78 and 43,767.76

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Solution

The third proportional to 19,663.78 and 43,767.76 is: 97,418.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,663.78 : 43,767.76 = 43,767.76 : x
  2. Step 2: Convert to fraction form
    19,663.78/43,767.76 = 43,767.76/x
  3. Step 3: Cross multiply
    19,663.78x = 43,767.76 × 43,767.76
  4. Step 4: Simplify right side
    19,663.78x = 1,915,617,222.32
  5. Step 5: Solve for x
    x = 1,915,617,222.32/19,663.78
  6. Step 6: Final answer
    x = 97,418.57

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.