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Finding the Third Proportional to 29,180.25 and 33,554.25

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Solution

The third proportional to 29,180.25 and 33,554.25 is: 38,583.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,180.25 : 33,554.25 = 33,554.25 : x
  2. Step 2: Convert to fraction form
    29,180.25/33,554.25 = 33,554.25/x
  3. Step 3: Cross multiply
    29,180.25x = 33,554.25 × 33,554.25
  4. Step 4: Simplify right side
    29,180.25x = 1,125,887,693.06
  5. Step 5: Solve for x
    x = 1,125,887,693.06/29,180.25
  6. Step 6: Final answer
    x = 38,583.89

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.