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Finding the Third Proportional to 9,316 and 17,144

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Solution

The third proportional to 9,316 and 17,144 is: 31,549.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316 : 17,144 = 17,144 : x
  2. Step 2: Convert to fraction form
    9,316/17,144 = 17,144/x
  3. Step 3: Cross multiply
    9,316x = 17,144 × 17,144
  4. Step 4: Simplify right side
    9,316x = 293,916,736
  5. Step 5: Solve for x
    x = 293,916,736/9,316
  6. Step 6: Final answer
    x = 31,549.67

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.