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Finding the Third Proportional to 8,953.03 and 20,214.56

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Solution

The third proportional to 8,953.03 and 20,214.56 is: 45,641.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,953.03 : 20,214.56 = 20,214.56 : x
  2. Step 2: Convert to fraction form
    8,953.03/20,214.56 = 20,214.56/x
  3. Step 3: Cross multiply
    8,953.03x = 20,214.56 × 20,214.56
  4. Step 4: Simplify right side
    8,953.03x = 408,628,537.07
  5. Step 5: Solve for x
    x = 408,628,537.07/8,953.03
  6. Step 6: Final answer
    x = 45,641.36

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.