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Finding the Third Proportional to 23,914.04 and 34,569.54

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Solution

The third proportional to 23,914.04 and 34,569.54 is: 49,972.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,914.04 : 34,569.54 = 34,569.54 : x
  2. Step 2: Convert to fraction form
    23,914.04/34,569.54 = 34,569.54/x
  3. Step 3: Cross multiply
    23,914.04x = 34,569.54 × 34,569.54
  4. Step 4: Simplify right side
    23,914.04x = 1,195,053,436.11
  5. Step 5: Solve for x
    x = 1,195,053,436.11/23,914.04
  6. Step 6: Final answer
    x = 49,972.89

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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.