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Finding the Third Proportional to 833.84 and 1,930.20

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Solution

The third proportional to 833.84 and 1,930.20 is: 4,468.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.84 : 1,930.20 = 1,930.20 : x
  2. Step 2: Convert to fraction form
    833.84/1,930.20 = 1,930.20/x
  3. Step 3: Cross multiply
    833.84x = 1,930.20 × 1,930.20
  4. Step 4: Simplify right side
    833.84x = 3,725,684.10
  5. Step 5: Solve for x
    x = 3,725,684.10/833.84
  6. Step 6: Final answer
    x = 4,468.08

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.