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Finding the Third Proportional to 13,089 and 14,313

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Solution

The third proportional to 13,089 and 14,313 is: 15,651.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,089 : 14,313 = 14,313 : x
  2. Step 2: Convert to fraction form
    13,089/14,313 = 14,313/x
  3. Step 3: Cross multiply
    13,089x = 14,313 × 14,313
  4. Step 4: Simplify right side
    13,089x = 204,861,969
  5. Step 5: Solve for x
    x = 204,861,969/13,089
  6. Step 6: Final answer
    x = 15,651.46

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.