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Finding the Third Proportional to 10,130.06 and 20,543.63

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Solution

The third proportional to 10,130.06 and 20,543.63 is: 41,662.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,130.06 : 20,543.63 = 20,543.63 : x
  2. Step 2: Convert to fraction form
    10,130.06/20,543.63 = 20,543.63/x
  3. Step 3: Cross multiply
    10,130.06x = 20,543.63 × 20,543.63
  4. Step 4: Simplify right side
    10,130.06x = 422,040,528.14
  5. Step 5: Solve for x
    x = 422,040,528.14/10,130.06
  6. Step 6: Final answer
    x = 41,662.18

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.