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Finding the Third Proportional to 4,309.03 and 9,425.53

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Solution

The third proportional to 4,309.03 and 9,425.53 is: 20,617.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.03 : 9,425.53 = 9,425.53 : x
  2. Step 2: Convert to fraction form
    4,309.03/9,425.53 = 9,425.53/x
  3. Step 3: Cross multiply
    4,309.03x = 9,425.53 × 9,425.53
  4. Step 4: Simplify right side
    4,309.03x = 88,840,639.34
  5. Step 5: Solve for x
    x = 88,840,639.34/4,309.03
  6. Step 6: Final answer
    x = 20,617.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.