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Finding the Third Proportional to 10,707.75 and 25,021.13

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Solution

The third proportional to 10,707.75 and 25,021.13 is: 58,467.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.75 : 25,021.13 = 25,021.13 : x
  2. Step 2: Convert to fraction form
    10,707.75/25,021.13 = 25,021.13/x
  3. Step 3: Cross multiply
    10,707.75x = 25,021.13 × 25,021.13
  4. Step 4: Simplify right side
    10,707.75x = 626,056,696.27
  5. Step 5: Solve for x
    x = 626,056,696.27/10,707.75
  6. Step 6: Final answer
    x = 58,467.62

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.