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Finding the Third Proportional to 14,825.25 and 35,436.38

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Solution

The third proportional to 14,825.25 and 35,436.38 is: 84,702.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,825.25 : 35,436.38 = 35,436.38 : x
  2. Step 2: Convert to fraction form
    14,825.25/35,436.38 = 35,436.38/x
  3. Step 3: Cross multiply
    14,825.25x = 35,436.38 × 35,436.38
  4. Step 4: Simplify right side
    14,825.25x = 1,255,736,673.14
  5. Step 5: Solve for x
    x = 1,255,736,673.14/14,825.25
  6. Step 6: Final answer
    x = 84,702.56

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.