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Finding the Third Proportional to 7,353 and 9,864

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Solution

The third proportional to 7,353 and 9,864 is: 13,232.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,353 : 9,864 = 9,864 : x
  2. Step 2: Convert to fraction form
    7,353/9,864 = 9,864/x
  3. Step 3: Cross multiply
    7,353x = 9,864 × 9,864
  4. Step 4: Simplify right side
    7,353x = 97,298,496
  5. Step 5: Solve for x
    x = 97,298,496/7,353
  6. Step 6: Final answer
    x = 13,232.49

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.