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Finding the Third Proportional to 15,550.50 and 23,904

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Solution

The third proportional to 15,550.50 and 23,904 is: 36,744.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,550.50 : 23,904 = 23,904 : x
  2. Step 2: Convert to fraction form
    15,550.50/23,904 = 23,904/x
  3. Step 3: Cross multiply
    15,550.50x = 23,904 × 23,904
  4. Step 4: Simplify right side
    15,550.50x = 571,401,216
  5. Step 5: Solve for x
    x = 571,401,216/15,550.50
  6. Step 6: Final answer
    x = 36,744.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.