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Finding the Third Proportional to 10,630.13 and 23,274.28

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Solution

The third proportional to 10,630.13 and 23,274.28 is: 50,958.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,630.13 : 23,274.28 = 23,274.28 : x
  2. Step 2: Convert to fraction form
    10,630.13/23,274.28 = 23,274.28/x
  3. Step 3: Cross multiply
    10,630.13x = 23,274.28 × 23,274.28
  4. Step 4: Simplify right side
    10,630.13x = 541,692,167.70
  5. Step 5: Solve for x
    x = 541,692,167.70/10,630.13
  6. Step 6: Final answer
    x = 50,958.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.