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Finding the Third Proportional to 23,805.19 and 36,175.31

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Solution

The third proportional to 23,805.19 and 36,175.31 is: 54,973.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,805.19 : 36,175.31 = 36,175.31 : x
  2. Step 2: Convert to fraction form
    23,805.19/36,175.31 = 36,175.31/x
  3. Step 3: Cross multiply
    23,805.19x = 36,175.31 × 36,175.31
  4. Step 4: Simplify right side
    23,805.19x = 1,308,653,234.47
  5. Step 5: Solve for x
    x = 1,308,653,234.47/23,805.19
  6. Step 6: Final answer
    x = 54,973.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.