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Finding the Third Proportional to 19,349.25 and 29,578.31

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Solution

The third proportional to 19,349.25 and 29,578.31 is: 45,215.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,349.25 : 29,578.31 = 29,578.31 : x
  2. Step 2: Convert to fraction form
    19,349.25/29,578.31 = 29,578.31/x
  3. Step 3: Cross multiply
    19,349.25x = 29,578.31 × 29,578.31
  4. Step 4: Simplify right side
    19,349.25x = 874,876,570.35
  5. Step 5: Solve for x
    x = 874,876,570.35/19,349.25
  6. Step 6: Final answer
    x = 45,215.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.