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Finding the Third Proportional to 930.19 and 2,025.75

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Solution

The third proportional to 930.19 and 2,025.75 is: 4,411.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.19 : 2,025.75 = 2,025.75 : x
  2. Step 2: Convert to fraction form
    930.19/2,025.75 = 2,025.75/x
  3. Step 3: Cross multiply
    930.19x = 2,025.75 × 2,025.75
  4. Step 4: Simplify right side
    930.19x = 4,103,663.06
  5. Step 5: Solve for x
    x = 4,103,663.06/930.19
  6. Step 6: Final answer
    x = 4,411.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.