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Finding the Third Proportional to 25,235.30 and 36,678.45

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Solution

The third proportional to 25,235.30 and 36,678.45 is: 53,310.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,235.30 : 36,678.45 = 36,678.45 : x
  2. Step 2: Convert to fraction form
    25,235.30/36,678.45 = 36,678.45/x
  3. Step 3: Cross multiply
    25,235.30x = 36,678.45 × 36,678.45
  4. Step 4: Simplify right side
    25,235.30x = 1,345,308,350.54
  5. Step 5: Solve for x
    x = 1,345,308,350.54/25,235.30
  6. Step 6: Final answer
    x = 53,310.58

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.