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Finding the Third Proportional to 11,173.50 and 14,904

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Solution

The third proportional to 11,173.50 and 14,904 is: 19,880.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,173.50 : 14,904 = 14,904 : x
  2. Step 2: Convert to fraction form
    11,173.50/14,904 = 14,904/x
  3. Step 3: Cross multiply
    11,173.50x = 14,904 × 14,904
  4. Step 4: Simplify right side
    11,173.50x = 222,129,216
  5. Step 5: Solve for x
    x = 222,129,216/11,173.50
  6. Step 6: Final answer
    x = 19,880.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.