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Finding the Third Proportional to 9,434.25 and 20,506.25

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Solution

The third proportional to 9,434.25 and 20,506.25 is: 44,572.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,434.25 : 20,506.25 = 20,506.25 : x
  2. Step 2: Convert to fraction form
    9,434.25/20,506.25 = 20,506.25/x
  3. Step 3: Cross multiply
    9,434.25x = 20,506.25 × 20,506.25
  4. Step 4: Simplify right side
    9,434.25x = 420,506,289.06
  5. Step 5: Solve for x
    x = 420,506,289.06/9,434.25
  6. Step 6: Final answer
    x = 44,572.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.