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Finding the Third Proportional to 19,428.56 and 29,022.56

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Solution

The third proportional to 19,428.56 and 29,022.56 is: 43,354.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,428.56 : 29,022.56 = 29,022.56 : x
  2. Step 2: Convert to fraction form
    19,428.56/29,022.56 = 29,022.56/x
  3. Step 3: Cross multiply
    19,428.56x = 29,022.56 × 29,022.56
  4. Step 4: Simplify right side
    19,428.56x = 842,309,134.07
  5. Step 5: Solve for x
    x = 842,309,134.07/19,428.56
  6. Step 6: Final answer
    x = 43,354.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.