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Finding the Third Proportional to 10,316 and 13,980

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Solution

The third proportional to 10,316 and 13,980 is: 18,945.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,316 : 13,980 = 13,980 : x
  2. Step 2: Convert to fraction form
    10,316/13,980 = 13,980/x
  3. Step 3: Cross multiply
    10,316x = 13,980 × 13,980
  4. Step 4: Simplify right side
    10,316x = 195,440,400
  5. Step 5: Solve for x
    x = 195,440,400/10,316
  6. Step 6: Final answer
    x = 18,945.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.