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Finding the Third Proportional to 9,366.47 and 13,907.53

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Solution

The third proportional to 9,366.47 and 13,907.53 is: 20,650.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,366.47 : 13,907.53 = 13,907.53 : x
  2. Step 2: Convert to fraction form
    9,366.47/13,907.53 = 13,907.53/x
  3. Step 3: Cross multiply
    9,366.47x = 13,907.53 × 13,907.53
  4. Step 4: Simplify right side
    9,366.47x = 193,419,425.47
  5. Step 5: Solve for x
    x = 193,419,425.47/9,366.47
  6. Step 6: Final answer
    x = 20,650.20

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.