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Finding the Third Proportional to 10,976.50 and 23,681

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Solution

The third proportional to 10,976.50 and 23,681 is: 51,090.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,976.50 : 23,681 = 23,681 : x
  2. Step 2: Convert to fraction form
    10,976.50/23,681 = 23,681/x
  3. Step 3: Cross multiply
    10,976.50x = 23,681 × 23,681
  4. Step 4: Simplify right side
    10,976.50x = 560,789,761
  5. Step 5: Solve for x
    x = 560,789,761/10,976.50
  6. Step 6: Final answer
    x = 51,090.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.