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Finding the Third Proportional to 19,693.78 and 29,555.16

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Solution

The third proportional to 19,693.78 and 29,555.16 is: 44,354.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,693.78 : 29,555.16 = 29,555.16 : x
  2. Step 2: Convert to fraction form
    19,693.78/29,555.16 = 29,555.16/x
  3. Step 3: Cross multiply
    19,693.78x = 29,555.16 × 29,555.16
  4. Step 4: Simplify right side
    19,693.78x = 873,507,260.96
  5. Step 5: Solve for x
    x = 873,507,260.96/19,693.78
  6. Step 6: Final answer
    x = 44,354.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.