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Finding the Third Proportional to 9,235.69 and 13,962.38

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Solution

The third proportional to 9,235.69 and 13,962.38 is: 21,108.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.69 : 13,962.38 = 13,962.38 : x
  2. Step 2: Convert to fraction form
    9,235.69/13,962.38 = 13,962.38/x
  3. Step 3: Cross multiply
    9,235.69x = 13,962.38 × 13,962.38
  4. Step 4: Simplify right side
    9,235.69x = 194,947,915.64
  5. Step 5: Solve for x
    x = 194,947,915.64/9,235.69
  6. Step 6: Final answer
    x = 21,108.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.