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Finding the Third Proportional to 5,924.53 and 8,924.34

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Solution

The third proportional to 5,924.53 and 8,924.34 is: 13,443.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,924.53 : 8,924.34 = 8,924.34 : x
  2. Step 2: Convert to fraction form
    5,924.53/8,924.34 = 8,924.34/x
  3. Step 3: Cross multiply
    5,924.53x = 8,924.34 × 8,924.34
  4. Step 4: Simplify right side
    5,924.53x = 79,643,911.37
  5. Step 5: Solve for x
    x = 79,643,911.37/5,924.53
  6. Step 6: Final answer
    x = 13,443.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.