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Finding the Third Proportional to 4,575.55 and 10,026.60

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Solution

The third proportional to 4,575.55 and 10,026.60 is: 21,971.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,575.55 : 10,026.60 = 10,026.60 : x
  2. Step 2: Convert to fraction form
    4,575.55/10,026.60 = 10,026.60/x
  3. Step 3: Cross multiply
    4,575.55x = 10,026.60 × 10,026.60
  4. Step 4: Simplify right side
    4,575.55x = 100,532,660.56
  5. Step 5: Solve for x
    x = 100,532,660.56/4,575.55
  6. Step 6: Final answer
    x = 21,971.71

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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.