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Finding the Third Proportional to 830.50 and 1,921.75

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Solution

The third proportional to 830.50 and 1,921.75 is: 4,446.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.50 : 1,921.75 = 1,921.75 : x
  2. Step 2: Convert to fraction form
    830.50/1,921.75 = 1,921.75/x
  3. Step 3: Cross multiply
    830.50x = 1,921.75 × 1,921.75
  4. Step 4: Simplify right side
    830.50x = 3,693,123.06
  5. Step 5: Solve for x
    x = 3,693,123.06/830.50
  6. Step 6: Final answer
    x = 4,446.87

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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.