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Finding the Third Proportional to 9,316 and 13,055

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Solution

The third proportional to 9,316 and 13,055 is: 18,294.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316 : 13,055 = 13,055 : x
  2. Step 2: Convert to fraction form
    9,316/13,055 = 13,055/x
  3. Step 3: Cross multiply
    9,316x = 13,055 × 13,055
  4. Step 4: Simplify right side
    9,316x = 170,433,025
  5. Step 5: Solve for x
    x = 170,433,025/9,316
  6. Step 6: Final answer
    x = 18,294.66

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.