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Finding the Third Proportional to 993.25 and 2,032.25

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Solution

The third proportional to 993.25 and 2,032.25 is: 4,158.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.25 : 2,032.25 = 2,032.25 : x
  2. Step 2: Convert to fraction form
    993.25/2,032.25 = 2,032.25/x
  3. Step 3: Cross multiply
    993.25x = 2,032.25 × 2,032.25
  4. Step 4: Simplify right side
    993.25x = 4,130,040.06
  5. Step 5: Solve for x
    x = 4,130,040.06/993.25
  6. Step 6: Final answer
    x = 4,158.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.