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Finding the Third Proportional to 28,505.25 and 65,982.38

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Solution

The third proportional to 28,505.25 and 65,982.38 is: 152,732.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,505.25 : 65,982.38 = 65,982.38 : x
  2. Step 2: Convert to fraction form
    28,505.25/65,982.38 = 65,982.38/x
  3. Step 3: Cross multiply
    28,505.25x = 65,982.38 × 65,982.38
  4. Step 4: Simplify right side
    28,505.25x = 4,353,673,810.64
  5. Step 5: Solve for x
    x = 4,353,673,810.64/28,505.25
  6. Step 6: Final answer
    x = 152,732.35

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.