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Finding the Third Proportional to 7,638.47 and 11,376.28

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Solution

The third proportional to 7,638.47 and 11,376.28 is: 16,943.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.47 : 11,376.28 = 11,376.28 : x
  2. Step 2: Convert to fraction form
    7,638.47/11,376.28 = 11,376.28/x
  3. Step 3: Cross multiply
    7,638.47x = 11,376.28 × 11,376.28
  4. Step 4: Simplify right side
    7,638.47x = 129,419,775.08
  5. Step 5: Solve for x
    x = 129,419,775.08/7,638.47
  6. Step 6: Final answer
    x = 16,943.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.