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Finding the Third Proportional to 1,833.47 and 3,927.23

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Solution

The third proportional to 1,833.47 and 3,927.23 is: 8,412.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.47 : 3,927.23 = 3,927.23 : x
  2. Step 2: Convert to fraction form
    1,833.47/3,927.23 = 3,927.23/x
  3. Step 3: Cross multiply
    1,833.47x = 3,927.23 × 3,927.23
  4. Step 4: Simplify right side
    1,833.47x = 15,423,169.84
  5. Step 5: Solve for x
    x = 15,423,169.84/1,833.47
  6. Step 6: Final answer
    x = 8,412.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.