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Finding the Third Proportional to 23,678.25 and 36,762.38

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Solution

The third proportional to 23,678.25 and 36,762.38 is: 57,076.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,678.25 : 36,762.38 = 36,762.38 : x
  2. Step 2: Convert to fraction form
    23,678.25/36,762.38 = 36,762.38/x
  3. Step 3: Cross multiply
    23,678.25x = 36,762.38 × 36,762.38
  4. Step 4: Simplify right side
    23,678.25x = 1,351,472,215.64
  5. Step 5: Solve for x
    x = 1,351,472,215.64/23,678.25
  6. Step 6: Final answer
    x = 57,076.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.