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Finding the Third Proportional to 10,753.88 and 23,573.25

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Solution

The third proportional to 10,753.88 and 23,573.25 is: 51,674.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,753.88 : 23,573.25 = 23,573.25 : x
  2. Step 2: Convert to fraction form
    10,753.88/23,573.25 = 23,573.25/x
  3. Step 3: Cross multiply
    10,753.88x = 23,573.25 × 23,573.25
  4. Step 4: Simplify right side
    10,753.88x = 555,698,115.56
  5. Step 5: Solve for x
    x = 555,698,115.56/10,753.88
  6. Step 6: Final answer
    x = 51,674.22

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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.