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Finding the Third Proportional to 10,221.75 and 21,534.75

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Solution

The third proportional to 10,221.75 and 21,534.75 is: 45,368.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.75 : 21,534.75 = 21,534.75 : x
  2. Step 2: Convert to fraction form
    10,221.75/21,534.75 = 21,534.75/x
  3. Step 3: Cross multiply
    10,221.75x = 21,534.75 × 21,534.75
  4. Step 4: Simplify right side
    10,221.75x = 463,745,457.56
  5. Step 5: Solve for x
    x = 463,745,457.56/10,221.75
  6. Step 6: Final answer
    x = 45,368.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.