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Finding the Third Proportional to 848.39 and 1,950.12

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Solution

The third proportional to 848.39 and 1,950.12 is: 4,482.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.39 : 1,950.12 = 1,950.12 : x
  2. Step 2: Convert to fraction form
    848.39/1,950.12 = 1,950.12/x
  3. Step 3: Cross multiply
    848.39x = 1,950.12 × 1,950.12
  4. Step 4: Simplify right side
    848.39x = 3,802,957.04
  5. Step 5: Solve for x
    x = 3,802,957.04/848.39
  6. Step 6: Final answer
    x = 4,482.55

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.