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Finding the Third Proportional to 6,368.63 and 13,962.38

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Solution

The third proportional to 6,368.63 and 13,962.38 is: 30,610.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368.63 : 13,962.38 = 13,962.38 : x
  2. Step 2: Convert to fraction form
    6,368.63/13,962.38 = 13,962.38/x
  3. Step 3: Cross multiply
    6,368.63x = 13,962.38 × 13,962.38
  4. Step 4: Simplify right side
    6,368.63x = 194,947,915.64
  5. Step 5: Solve for x
    x = 194,947,915.64/6,368.63
  6. Step 6: Final answer
    x = 30,610.68

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