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Finding the Third Proportional to 35,552.25 and 82,304.44

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Solution

The third proportional to 35,552.25 and 82,304.44 is: 190,537.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,552.25 : 82,304.44 = 82,304.44 : x
  2. Step 2: Convert to fraction form
    35,552.25/82,304.44 = 82,304.44/x
  3. Step 3: Cross multiply
    35,552.25x = 82,304.44 × 82,304.44
  4. Step 4: Simplify right side
    35,552.25x = 6,774,020,432.19
  5. Step 5: Solve for x
    x = 6,774,020,432.19/35,552.25
  6. Step 6: Final answer
    x = 190,537.04

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.