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Finding the Third Proportional to 10,209.75 and 21,452.25

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Solution

The third proportional to 10,209.75 and 21,452.25 is: 45,074.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.75 : 21,452.25 = 21,452.25 : x
  2. Step 2: Convert to fraction form
    10,209.75/21,452.25 = 21,452.25/x
  3. Step 3: Cross multiply
    10,209.75x = 21,452.25 × 21,452.25
  4. Step 4: Simplify right side
    10,209.75x = 460,199,030.06
  5. Step 5: Solve for x
    x = 460,199,030.06/10,209.75
  6. Step 6: Final answer
    x = 45,074.47

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.