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Finding the Third Proportional to 9,140 and 13,673

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Solution

The third proportional to 9,140 and 13,673 is: 20,454.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140 : 13,673 = 13,673 : x
  2. Step 2: Convert to fraction form
    9,140/13,673 = 13,673/x
  3. Step 3: Cross multiply
    9,140x = 13,673 × 13,673
  4. Step 4: Simplify right side
    9,140x = 186,950,929
  5. Step 5: Solve for x
    x = 186,950,929/9,140
  6. Step 6: Final answer
    x = 20,454.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.