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Finding the Third Proportional to 10,104.75 and 21,505.50

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Solution

The third proportional to 10,104.75 and 21,505.50 is: 45,769.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,104.75 : 21,505.50 = 21,505.50 : x
  2. Step 2: Convert to fraction form
    10,104.75/21,505.50 = 21,505.50/x
  3. Step 3: Cross multiply
    10,104.75x = 21,505.50 × 21,505.50
  4. Step 4: Simplify right side
    10,104.75x = 462,486,530.25
  5. Step 5: Solve for x
    x = 462,486,530.25/10,104.75
  6. Step 6: Final answer
    x = 45,769.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.