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Finding the Third Proportional to 12,071.38 and 25,245.75

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Solution

The third proportional to 12,071.38 and 25,245.75 is: 52,798.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.38 : 25,245.75 = 25,245.75 : x
  2. Step 2: Convert to fraction form
    12,071.38/25,245.75 = 25,245.75/x
  3. Step 3: Cross multiply
    12,071.38x = 25,245.75 × 25,245.75
  4. Step 4: Simplify right side
    12,071.38x = 637,347,893.06
  5. Step 5: Solve for x
    x = 637,347,893.06/12,071.38
  6. Step 6: Final answer
    x = 52,798.28

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.