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Finding the Third Proportional to 23,470.38 and 48,489.89

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Solution

The third proportional to 23,470.38 and 48,489.89 is: 100,180.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,470.38 : 48,489.89 = 48,489.89 : x
  2. Step 2: Convert to fraction form
    23,470.38/48,489.89 = 48,489.89/x
  3. Step 3: Cross multiply
    23,470.38x = 48,489.89 × 48,489.89
  4. Step 4: Simplify right side
    23,470.38x = 2,351,269,492.82
  5. Step 5: Solve for x
    x = 2,351,269,492.82/23,470.38
  6. Step 6: Final answer
    x = 100,180.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.