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Finding the Third Proportional to 1,838.81 and 4,525.88

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Solution

The third proportional to 1,838.81 and 4,525.88 is: 11,139.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.81 : 4,525.88 = 4,525.88 : x
  2. Step 2: Convert to fraction form
    1,838.81/4,525.88 = 4,525.88/x
  3. Step 3: Cross multiply
    1,838.81x = 4,525.88 × 4,525.88
  4. Step 4: Simplify right side
    1,838.81x = 20,483,544.52
  5. Step 5: Solve for x
    x = 20,483,544.52/1,838.81
  6. Step 6: Final answer
    x = 11,139.55

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.