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Finding the Third Proportional to 10,575.88 and 23,515.73

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Solution

The third proportional to 10,575.88 and 23,515.73 is: 52,287.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.88 : 23,515.73 = 23,515.73 : x
  2. Step 2: Convert to fraction form
    10,575.88/23,515.73 = 23,515.73/x
  3. Step 3: Cross multiply
    10,575.88x = 23,515.73 × 23,515.73
  4. Step 4: Simplify right side
    10,575.88x = 552,989,763.20
  5. Step 5: Solve for x
    x = 552,989,763.20/10,575.88
  6. Step 6: Final answer
    x = 52,287.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.